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152442235536 = 2435922633469
BaseRepresentation
bin1000110111111001000…
…0111110101010010000
3112120110221221221012120
42031332100332222100
54444200203014121
6154010410054240
714004442423323
oct2157620765220
9476427857176
10152442235536
1159717738928
122566471a380
13114b5535346
147541c867ba
153e731e9bc6
hex237e43ea90

152442235536 has 120 divisors (see below), whose sum is σ = 402236070720. Its totient is φ = 49748543232.

The previous prime is 152442235531. The next prime is 152442235541. The reversal of 152442235536 is 635532244251.

152442235536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152442235531) and next prime (152442235541).

It is not an unprimeable number, because it can be changed into a prime (152442235531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43942410 + ... + 43945878.

It is an arithmetic number, because the mean of its divisors is an integer number (3351967256).

Almost surely, 2152442235536 is an apocalyptic number.

152442235536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152442235536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201118035360).

152442235536 is an abundant number, since it is smaller than the sum of its proper divisors (249793835184).

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

152442235536 is a wasteful number, since it uses less digits than its factorization.

152442235536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3796 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

Adding to 152442235536 its reverse (635532244251), we get a palindrome (787974479787).

The spelling of 152442235536 in words is "one hundred fifty-two billion, four hundred forty-two million, two hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 263 354 472 526 708 789 944 1052 1416 1578 2104 2832 3156 3469 3481 4208 6312 6938 6962 10407 10443 12624 13876 13924 15517 20814 20886 27752 27848 31034 41628 41772 46551 55504 55696 62068 83256 83544 93102 124136 166512 167088 186204 204671 248272 372408 409342 614013 744816 818684 912347 915503 1228026 1637368 1824694 1831006 2456052 2737041 2746509 3274736 3649388 3662012 4912104 5474082 5493018 7298776 7324024 9824208 10948164 10986036 12075589 14597552 14648048 21896328 21972072 24151178 36226767 43792656 43944144 48302356 53828473 72453534 96604712 107656946 144907068 161485419 193209424 215313892 289814136 322970838 430627784 579628272 645941676 861255568 1291883352 2583766704 3175879907 6351759814 9527639721 12703519628 19055279442 25407039256 38110558884 50814078512 76221117768 152442235536