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10952129694432 = 253313680151107
BaseRepresentation
bin1001111101011111110111…
…0011001100101011100000
31102210000100202020012020010
42133113331303030223200
52413414430200210212
635143201112444520
72210156661251253
oct237277563145340
942700322205203
1010952129694432
113542854766903
12128a71a0a9740
13615a2096b064
1429c12ba2109a
1513ed53c9503c
hex9f5fdcccae0

10952129694432 has 48 divisors (see below), whose sum is σ = 29676738534912. Its totient is φ = 3532945061760.

The previous prime is 10952129694427. The next prime is 10952129694449. The reversal of 10952129694432 is 23449692125901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1840072578 + ... + 1840078529.

It is an arithmetic number, because the mean of its divisors is an integer number (618265386144).

Almost surely, 210952129694432 is an apocalyptic number.

10952129694432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10952129694432 is an abundant number, since it is smaller than the sum of its proper divisors (18724608840480).

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

10952129694432 is a wasteful number, since it uses less digits than its factorization.

10952129694432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680151151 (or 3680151143 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 10952129694432 in words is "ten trillion, nine hundred fifty-two billion, one hundred twenty-nine million, six hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3680151107 7360302214 11040453321 14720604428 22080906642 29441208856 44161813284 58882417712 88323626568 114084684317 117764835424 176647253136 228169368634 342254052951 353294506272 456338737268 684508105902 912677474536 1369016211804 1825354949072 2738032423608 3650709898144 5476064847216 10952129694432