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42525333352524 = 223113717474984013
BaseRepresentation
bin10011010101101001100110…
…11000110111000001001100
312120120101022121011020000210
421222310303120313001030
521033213340314240044
6230235511330122420
711646232255262661
oct1152646330670114
9176511277136023
1042525333352524
1112605990054030
124929840120410
131a9617758ab09
14a7034690ba68
154db2ac8eb1b9
hex26ad3363704c

42525333352524 has 96 divisors (see below), whose sum is σ = 111235537034496. Its totient is φ = 12531002330880.

The previous prime is 42525333352427. The next prime is 42525333352543.

42525333352524 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6040342 + ... + 11024354.

It is an arithmetic number, because the mean of its divisors is an integer number (1158703510776).

Almost surely, 242525333352524 is an apocalyptic number.

42525333352524 is a gapful number since it is divisible by the number (44) 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 42525333352524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55617768517248).

42525333352524 is an abundant number, since it is smaller than the sum of its proper divisors (68710203681972).

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

42525333352524 is a wasteful number, since it uses less digits than its factorization.

42525333352524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985815 (or 4985813 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 42525333352524 in words is "forty-two trillion, five hundred twenty-five billion, three hundred thirty-three million, three hundred fifty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 1747 2442 3494 4884 5241 6988 10482 19217 20964 38434 57651 64639 76868 115302 129278 193917 230604 258556 387834 711029 775668 1422058 2133087 2844116 4266174 4984013 8532348 9968026 14952039 19936052 29904078 54824143 59808156 109648286 164472429 184408481 219296572 328944858 368816962 553225443 657889716 737633924 1106450886 2028493291 2212901772 4056986582 6085479873 8113973164 8707070711 12170959746 17414141422 24341919492 26121212133 34828282844 52242424266 95777777821 104484848532 191555555642 287333333463 322161616307 383111111284 574666666926 644323232614 966484848921 1149333333852 1288646465228 1932969697842 3543777779377 3865939395684 7087555558754 10631333338131 14175111117508 21262666676262 42525333352524