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37042234056 = 23323124168863
BaseRepresentation
bin100010011111111000…
…111010001011001000
310112121112111110101200
4202133320322023020
51101330302442211
625003355344200
72450640536322
oct423770721310
9115545443350
1037042234056
1114789414783
127219452060
1336543676b9
141b1583a612
15e6bed6b56
hex89fe3a2c8

37042234056 has 96 divisors (see below), whose sum is σ = 103990149120. Its totient is φ = 11899353600.

The previous prime is 37042234039. The next prime is 37042234063. The reversal of 37042234056 is 65043224073.

37042234056 is a `hidden beast` number, since 370 + 4 + 2 + 234 + 0 + 56 = 666.

37042234056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×370422340562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 37042234056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503481 + ... + 572343.

It is an arithmetic number, because the mean of its divisors is an integer number (1083230720).

Almost surely, 237042234056 is an apocalyptic number.

37042234056 is a gapful number since it is divisible by the number (36) 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 37042234056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51995074560).

37042234056 is an abundant number, since it is smaller than the sum of its proper divisors (66947915064).

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

37042234056 is a wasteful number, since it uses less digits than its factorization.

37042234056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69147 (or 69140 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 37042234056 in words is "thirty-seven billion, forty-two million, two hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 241 248 279 372 482 558 723 744 964 1116 1446 1928 2169 2232 2892 4338 5784 7471 8676 14942 17352 22413 29884 44826 59768 67239 68863 89652 134478 137726 179304 206589 268956 275452 413178 537912 550904 619767 826356 1239534 1652712 2134753 2479068 4269506 4958136 6404259 8539012 12808518 16595983 17078024 19212777 25617036 33191966 38425554 49787949 51234072 66383932 76851108 99575898 132767864 149363847 153702216 199151796 298727694 398303592 514475473 597455388 1028950946 1194910776 1543426419 2057901892 3086852838 4115803784 4630279257 6173705676 9260558514 12347411352 18521117028 37042234056