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157155159184 = 242323121392
BaseRepresentation
bin1001001001011100101…
…1010110110010010000
3120000122102011021001021
42102113023112302100
510033323210043214
6200110204245224
714232310545442
oct2222713266220
9500572137037
10157155159184
1160715a99151
122655ab40814
1311a86a6c66a
14786bb7a492
15414bd46924
hex24972d6c90

157155159184 has 135 divisors (see below), whose sum is σ = 331284583539. Its totient is φ = 72213324480.

The previous prime is 157155159167. The next prime is 157155159221. The reversal of 157155159184 is 481951551751.

The square root of 157155159184 is 396428.

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

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1130612587 + ... + 1130612725.

Almost surely, 2157155159184 is an apocalyptic number.

157155159184 is the 396428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157155159184

157155159184 is an abundant number, since it is smaller than the sum of its proper divisors (174129424355).

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

157155159184 is an equidigital number, since it uses as much as digits as its factorization.

157155159184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 52.

The spelling of 157155159184 in words is "one hundred fifty-seven billion, one hundred fifty-five million, one hundred fifty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 139 184 248 278 368 496 529 556 713 961 1058 1112 1426 1922 2116 2224 2852 3197 3844 4232 4309 5704 6394 7688 8464 8618 11408 12788 15376 16399 17236 19321 22103 25576 32798 34472 38642 44206 51152 65596 68944 73531 77284 88412 99107 131192 133579 147062 154568 176824 198214 262384 267158 294124 309136 353648 396428 444383 508369 534316 588248 598951 792856 888766 1016738 1068632 1176496 1197902 1585712 1777532 2033476 2137264 2279461 2395804 3072317 3555064 4066952 4558922 4791608 6144634 7110128 8133904 9117844 9583216 10220809 12289268 13775873 18235688 18567481 20441618 24578536 27551746 36471376 37134962 40883236 49157072 55103492 70663291 74269924 81766472 110206984 141326582 148539848 163532944 220413968 282653164 297079696 316845079 427052063 565306328 633690158 854104126 1130612656 1267380316 1708208252 2534760632 3416416504 5069521264 6832833008 9822197449 19644394898 39288789796 78577579592 157155159184