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37412000406 = 23211233750971
BaseRepresentation
bin100010110101111011…
…011101001010010110
310120120022021112110200
4202311323131022112
51103104433003111
625104205001330
72463050520324
oct426573351226
9116508245420
1037412000406
111495910a700
127301253246
1336b2b51861
141b4c9b0d14
15e8e6c7256
hex8b5edd296

37412000406 has 72 divisors (see below), whose sum is σ = 89364416232. Its totient is φ = 11303107200.

The previous prime is 37412000387. The next prime is 37412000443. The reversal of 37412000406 is 60400021473.

It is a self number, because there is not a number n which added to its sum of digits gives 37412000406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 708501 + ... + 759471.

Almost surely, 237412000406 is an apocalyptic number.

37412000406 is the 122331-st heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37412000406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44682208116).

37412000406 is an abundant number, since it is smaller than the sum of its proper divisors (51952415826).

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

37412000406 is a wasteful number, since it uses less digits than its factorization.

37412000406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51338 (or 51324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 37412000406 its reverse (60400021473), we get a palindrome (97812021879).

The spelling of 37412000406 in words is "thirty-seven billion, four hundred twelve million, four hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 337 363 674 726 1011 1089 2022 2178 3033 3707 6066 7414 11121 22242 33363 40777 50971 66726 81554 101942 122331 152913 244662 305826 366993 458739 560681 733986 917478 1121362 1682043 3364086 5046129 6167491 10092258 12334982 17177227 18502473 34354454 37004946 51531681 55507419 103063362 111014838 154595043 188949497 309190086 377898994 566848491 1133696982 1700545473 2078444467 3401090946 4156888934 6235333401 12470666802 18706000203 37412000406