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152134455552 = 2831912018681
BaseRepresentation
bin1000110110101111101…
…0111001000100000000
3112112200111211002102220
42031223322321010000
54443032410034202
6153520053211040
713664014351512
oct2155372710400
9475614732386
10152134455552
1159579a30202
1225599630a80
1311466842301
147513049bb2
153e561a0abc
hex236beb9100

152134455552 has 144 divisors (see below), whose sum is σ = 426614032320. Its totient is φ = 47996928000.

The previous prime is 152134455509. The next prime is 152134455569. The reversal of 152134455552 is 255554431251.

It is a happy number.

It is a super-2 number, since 2×1521344555522 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct 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 15 ways as a sum of consecutive naturals, for example, 17520652 + ... + 17529332.

Almost surely, 2152134455552 is an apocalyptic number.

152134455552 is a gapful number since it is divisible by the number (12) 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 152134455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213307016160).

152134455552 is an abundant number, since it is smaller than the sum of its proper divisors (274479576768).

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

152134455552 is a wasteful number, since it uses less digits than its factorization.

152134455552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9906 counting only the distinct ones).

The product of its digits is 600000, while the sum is 42.

The spelling of 152134455552 in words is "one hundred fifty-two billion, one hundred thirty-four million, four hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1201 1216 1824 2402 2432 3603 3648 4804 4864 7206 7296 8681 9608 14412 14592 17362 19216 22819 26043 28824 34724 38432 45638 52086 57648 68457 69448 76864 91276 104172 115296 136914 138896 153728 164939 182552 208344 230592 273828 277792 307456 329878 365104 416688 461184 494817 547656 555584 659756 730208 833376 922368 989634 1095312 1111168 1319512 1460416 1666752 1979268 2190624 2222336 2639024 2920832 3333504 3958536 4381248 5278048 5841664 6667008 7917072 8762496 10425881 10556096 15834144 17524992 20851762 21112192 31277643 31668288 41703524 42224384 62555286 63336576 83407048 125110572 126673152 166814096 198091739 250221144 333628192 396183478 500442288 594275217 667256384 792366956 1000884576 1188550434 1334512768 1584733912 2001769152 2377100868 2669025536 3169467824 4003538304 4754201736 6338935648 8007076608 9508403472 12677871296 19016806944 25355742592 38033613888 50711485184 76067227776 152134455552