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74735437141156 = 2211413922572
BaseRepresentation
bin10000111111100010110011…
…001011101101010010100100
3100210121122020010001011100011
4100333202303023231102210
534243431133402004111
6422540552535500004
721512312542141051
oct2077426313552244
9323548203034304
1074735437141156
11218a4136a10000
12847028a827604
1332916a1909b3c
141465300688028
15899090b87021
hex43f8b32ed4a4

74735437141156 has 135 divisors (see below), whose sum is σ = 145473303411345. Its totient is φ = 33595029473280.

The previous prime is 74735437141153. The next prime is 74735437141217. The reversal of 74735437141156 is 65114173453747.

It is a happy number.

The square root of 74735437141156 is 8644966.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73576765736100 + 1158671405056 = 8577690^2 + 1076416^2 .

It is a Duffinian number.

Its product of digits (29635200) is a multiple of the sum of its prime factors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 74735437141156.

It is not an unprimeable number, because it can be changed into a prime (74735437141153) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 290799366180 + ... + 290799366436.

Almost surely, 274735437141156 is an apocalyptic number.

74735437141156 is the 8644966-th square number.

It is an amenable number.

74735437141156 is a deficient number, since it is larger than the sum of its proper divisors (70737866270189).

74735437141156 is an frugal number, since it uses more digits than its factorization.

74735437141156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 409 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 58.

The spelling of 74735437141156 in words is "seventy-four trillion, seven hundred thirty-five billion, four hundred thirty-seven million, one hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 11 22 44 121 139 242 257 278 484 514 556 1028 1331 1529 2662 2827 3058 5324 5654 6116 11308 14641 16819 19321 29282 31097 33638 35723 38642 58564 62194 66049 67276 71446 77284 124388 132098 142892 185009 212531 264196 342067 370018 392953 425062 684134 726539 740036 785906 850124 1368268 1453078 1571812 2035099 2337841 2906156 3762737 4070198 4322483 4675682 4965497 7525474 7991929 8140396 8644966 9180811 9351364 9930994 15050948 15983858 17289932 18361622 19861988 25716251 31967716 36723244 47547313 51432502 54620467 87911219 95094626 100988921 102865004 109240934 175822438 190189252 201977842 218481868 282878761 351644876 403955684 523020443 565757522 600825137 967023409 1046040886 1110878131 1131515044 1201650274 1276132729 1934046818 2092081772 2221756262 2403300548 2552265458 3868093636 4443512524 5104530916 6609076507 12219659441 13218153014 14037460019 24439318882 26436306028 28074920038 48878637764 56149840076 72699841577 134416253851 145399683154 154412060209 268832507702 290799366308 308824120418 537665015404 617648240836 1698532662299 3397065324598 6794130649196 18683859285289 37367718570578 74735437141156