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151153212001152 = 2731723745130661
BaseRepresentation
bin100010010111100100011001…
…100000100000101110000000
3201211012002212020022022000210
4202113210121200200232000
5124302443234233014102
61253250454343314120
743560313334056464
oct4227443140405600
9654162766268023
10151153212001152
1144186798689309
1214b52608a4b940
1366458c09950aa
142947bd6a444a4
151271c9674436c
hex897919820b80

151153212001152 has 128 divisors (see below), whose sum is σ = 401800764539520. Its totient is φ = 50346761472000.

The previous prime is 151153212001151. The next prime is 151153212001159. The reversal of 151153212001152 is 251100212351151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151153212001151) by changing a digit.

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, 4929804702 + ... + 4929835362.

It is an arithmetic number, because the mean of its divisors is an integer number (3139068472965).

Almost surely, 2151153212001152 is an apocalyptic number.

151153212001152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151153212001152 is an abundant number, since it is smaller than the sum of its proper divisors (250647552538368).

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

151153212001152 is a wasteful number, since it uses less digits than its factorization.

151153212001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39852 (or 39840 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 151153212001152 in words is "one hundred fifty-one trillion, one hundred fifty-three billion, two hundred twelve million, one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1723 3446 5169 6892 7451 10338 13784 14902 20676 22353 27568 29804 30661 41352 44706 55136 59608 61322 82704 89412 91983 110272 119216 122644 165408 178824 183966 220544 238432 245288 330816 357648 367932 476864 490576 661632 715296 735864 953728 981152 1430592 1471728 1962304 2861184 2943456 3924608 5886912 11773824 12838073 25676146 38514219 51352292 52828903 77028438 102704584 105657806 154056876 158486709 205409168 211315612 228455111 308113752 316973418 410818336 422631224 456910222 616227504 633946836 685365333 821636672 845262448 913820444 1232455008 1267893672 1370730666 1643273344 1690524896 1827640888 2464910016 2535787344 2741461332 3381049792 3655281776 4929820032 5071574688 5482922664 6762099584 7310563552 10143149376 10965845328 14621127104 20286298752 21931690656 29242254208 43863381312 87726762624 393628156253 787256312506 1180884468759 1574512625012 2361768937518 3149025250024 4723537875036 6298050500048 9447075750072 12596101000096 18894151500144 25192202000192 37788303000288 50384404000384 75576606000576 151153212001152