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151049952096 = 25347110930187
BaseRepresentation
bin1000110010101101000…
…1110101101101100000
3112102212221010121101020
42030223101311231200
54433322241431341
6153220312405440
713625105260041
oct2145321655540
9472787117336
10151049952096
115907283a75a
12253363a6880
1311322c58ca4
14744cdc28c8
153de0d7b566
hex232b475b60

151049952096 has 96 divisors (see below), whose sum is σ = 405320993280. Its totient is φ = 49232641536.

The previous prime is 151049952071. The next prime is 151049952113. The reversal of 151049952096 is 690259940151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4988715 + ... + 5018901.

It is an arithmetic number, because the mean of its divisors is an integer number (4222093680).

Almost surely, 2151049952096 is an apocalyptic number.

151049952096 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 151049952096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202660496640).

151049952096 is an abundant number, since it is smaller than the sum of its proper divisors (254271041184).

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

151049952096 is a wasteful number, since it uses less digits than its factorization.

151049952096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31356 (or 31348 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The spelling of 151049952096 in words is "one hundred fifty-one billion, forty-nine million, nine hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1109 1128 1504 2218 2256 3327 4436 4512 6654 8872 13308 17744 26616 30187 35488 52123 53232 60374 90561 104246 106464 120748 156369 181122 208492 241496 312738 362244 416984 482992 625476 724488 833968 965984 1250952 1418789 1448976 1667936 2501904 2837578 2897952 4256367 5003808 5675156 8512734 11350312 17025468 22700624 33477383 34050936 45401248 66954766 68101872 100432149 133909532 136203744 200864298 267819064 401728596 535638128 803457192 1071276256 1573437001 1606914384 3146874002 3213828768 4720311003 6293748004 9440622006 12587496008 18881244012 25174992016 37762488024 50349984032 75524976048 151049952096