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42692842512 = 24322379163169
BaseRepresentation
bin100111110000101100…
…010001010000010000
311002012100010002222100
4213300230101100100
51144413331430022
631340211440400
73040653113415
oct476054212020
9132170102870
1042692842512
1117118aa6521
1283358b6100
134044c311b8
1420d009a10c
15119d1061ac
hex9f0b11410

42692842512 has 120 divisors (see below), whose sum is σ = 126254419200. Its totient is φ = 13439821824.

The previous prime is 42692842501. The next prime is 42692842519. The reversal of 42692842512 is 21524829624.

42692842512 is a `hidden beast` number, since 4 + 2 + 6 + 92 + 8 + 42 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (42692842519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180064 + ... + 343232.

It is an arithmetic number, because the mean of its divisors is an integer number (1052120160).

Almost surely, 242692842512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42692842512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63127209600).

42692842512 is an abundant number, since it is smaller than the sum of its proper divisors (83561576688).

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

42692842512 is a wasteful number, since it uses less digits than its factorization.

42692842512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163285 (or 163276 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 42692842512 in words is "forty-two billion, six hundred ninety-two million, eight hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 79 92 138 144 158 184 207 237 276 316 368 414 474 552 632 711 828 948 1104 1264 1422 1656 1817 1896 2844 3312 3634 3792 5451 5688 7268 10902 11376 14536 16353 21804 29072 32706 43608 65412 87216 130824 163169 261648 326338 489507 652676 979014 1305352 1468521 1958028 2610704 2937042 3752887 3916056 5874084 7505774 7832112 11258661 11748168 12890351 15011548 22517322 23496336 25780702 30023096 33775983 38671053 45034644 51561404 60046192 67551966 77342106 90069288 103122808 116013159 135103932 154684212 180138576 206245616 232026318 270207864 296478073 309368424 464052636 540415728 592956146 618736848 889434219 928105272 1185912292 1778868438 1856210544 2371824584 2668302657 3557736876 4743649168 5336605314 7115473752 10673210628 14230947504 21346421256 42692842512