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152135893898244 = 2234292236292
BaseRepresentation
bin100010100101110111100101…
…111010011101010000000100
3201221200001100000122221110000
4202211313211322131100010
5124420043302314220434
61255322133111001300
744021312163266544
oct4245674572352004
9657601300587400
10152135893898244
1144525519a27163
1215090b57069230
1366b74790a1959
14297d5b9045324
15128c60c8eab99
hex8a5de5e9d404

152135893898244 has 135 divisors (see below), whose sum is σ = 411917867087727. Its totient is φ = 48961204028352.

The previous prime is 152135893898237. The next prime is 152135893898251. The reversal of 152135893898244 is 442898398531251.

It is a happy number.

The square root of 152135893898244 is 12334338.

It is a perfect power (a square), and thus also a powerful number.

152135893898244 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 3 + 589 + 38 + 9 + 8 + 2 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (152135893898237) and next prime (152135893898251).

It can be written as a sum of positive squares in 4 ways, for example, as 54453507664644 + 97682386233600 = 7379262^2 + 9883440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6438512622 + ... + 6438536250.

Almost surely, 2152135893898244 is an apocalyptic number.

152135893898244 is the 12334338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152135893898244

152135893898244 is an abundant number, since it is smaller than the sum of its proper divisors (259781973189483).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152135893898244 is an frugal number, since it uses more digits than its factorization.

152135893898244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47332 (or 23663 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 152135893898244 in words is "one hundred fifty-two trillion, one hundred thirty-five billion, eight hundred ninety-three million, eight hundred ninety-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 841 1044 1566 1682 2349 2523 3132 3364 4698 5046 7569 9396 10092 15138 22707 23629 30276 45414 47258 68121 70887 90828 94516 136242 141774 212661 272484 283548 425322 637983 685241 850644 1275966 1370482 1913949 2055723 2551932 2740964 3827898 4111446 6167169 7655796 8222892 12334338 18501507 19871989 24668676 37003014 39743978 55504521 59615967 74006028 79487956 111009042 119231934 178847901 222018084 238463868 357695802 536543703 558329641 715391604 1073087406 1116659282 1609631109 1674988923 2146174812 2233318564 3219262218 3349977846 5024966769 6438524436 6699955692 10049933538 15074900307 16191559589 20099867076 30149800614 32383119178 45224700921 48574678767 60299601228 64766238356 90449401842 97149357534 145724036301 180898803684 194298715068 291448072602 437172108903 469555228081 582896145204 874344217806 939110456162 1311516326709 1408665684243 1748688435612 1878220912324 2623032653418 2817331368486 4225997052729 5246065306836 5634662736972 8451994105458 12677991158187 16903988210916 25355982316374 38033973474561 50711964632748 76067946949122 152135893898244