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41374147992 = 2333725212417
BaseRepresentation
bin100110100010000101…
…110110010110011000
310221210102202111011120
4212202011312112120
51134213240213432
631001303325240
72663201312112
oct464205662630
9127712674146
1041374147992
111660169a841
128028150820
133b9497c098
142006cb03b2
151122471c2c
hex9a2176598

41374147992 has 96 divisors (see below), whose sum is σ = 106554586320. Its totient is φ = 13387345920.

The previous prime is 41374147973. The next prime is 41374148017. The reversal of 41374147992 is 29974147314.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 17116768 + ... + 17119184.

Almost surely, 241374147992 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 41374147992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53277293160).

41374147992 is an abundant number, since it is smaller than the sum of its proper divisors (65180438328).

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

41374147992 is a wasteful number, since it uses less digits than its factorization.

41374147992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 2980 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 41374147992 in words is "forty-one billion, three hundred seventy-four million, one hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 521 888 1042 1369 1563 2084 2417 2738 3126 4107 4168 4834 5476 6252 7251 8214 9668 10952 12504 14502 16428 19277 19336 29004 32856 38554 57831 58008 77108 89429 115662 154216 178858 231324 268287 357716 462648 536574 713249 715432 1073148 1259257 1426498 2139747 2146296 2518514 2852996 3308873 3777771 4279494 5037028 5705992 6617746 7555542 8558988 9926619 10074056 13235492 15111084 17117976 19853238 26470984 30222168 39706476 46592509 79412952 93185018 139777527 186370036 279555054 372740072 559110108 1118220216 1723922833 3447845666 5171768499 6895691332 10343536998 13791382664 20687073996 41374147992