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131774837132928 = 2731122836063127
BaseRepresentation
bin11101111101100100111000…
…010110111000111010000000
3122021120112212222012100210210
4131331210320112320322000
5114232444331301223203
61144132305141154120
736520263210341163
oct3575447026707200
9567515788170723
10131774837132928
1138a95438220400
1212942a1a3bb940
13586b41060b422
142477d16b09ada
151037b74eac803
hex77d9385b8e80

131774837132928 has 96 divisors (see below), whose sum is σ = 384740323944480. Its totient is φ = 39931768814080.

The previous prime is 131774837132899. The next prime is 131774837132987. The reversal of 131774837132928 is 829231738477131.

131774837132928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417985100 + ... + 1418078027.

It is an arithmetic number, because the mean of its divisors is an integer number (4007711707755).

Almost surely, 2131774837132928 is an apocalyptic number.

It is an amenable number.

131774837132928 is an abundant number, since it is smaller than the sum of its proper divisors (252965486811552).

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

131774837132928 is a wasteful number, since it uses less digits than its factorization.

131774837132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836063166 (or 2836063143 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 66.

The spelling of 131774837132928 in words is "one hundred thirty-one trillion, seven hundred seventy-four billion, eight hundred thirty-seven million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 2836063127 5672126254 8508189381 11344252508 17016378762 22688505016 31196694397 34032757524 45377010032 62393388794 68065515048 90754020064 93590083191 124786777588 136131030096 181508040128 187180166382 249573555176 272262060192 343163638367 363016080256 374360332764 499147110352 544524120384 686327276734 748720665528 998294220704 1029490915101 1089048240768 1372654553468 1497441331056 1996588441408 2058981830202 2745309106936 2994882662112 3993176882816 4117963660404 5490618213872 5989765324224 8235927320808 10981236427744 11979530648448 16471854641616 21962472855488 32943709283232 43924945710976 65887418566464 131774837132928