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46116345100 = 22527240923011
BaseRepresentation
bin101010111100101111…
…111001010100001100
311102000221001001122111
4222330233321110030
51223421241020400
633104025153404
73221543315500
oct527457712414
9142027031574
1046116345100
1118615524701
128b3032b864
13446c295787
142336a24300
1512ed9523ba
hexabcbf950c

46116345100 has 108 divisors (see below), whose sum is σ = 116700525480. Its totient is φ = 15771974400.

The previous prime is 46116345091. The next prime is 46116345101. The reversal of 46116345100 is 154361164.

It is not an unprimeable number, because it can be changed into a prime (46116345101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1992595 + ... + 2015605.

Almost surely, 246116345100 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 46116345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350262740).

46116345100 is an abundant number, since it is smaller than the sum of its proper divisors (70584180380).

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

46116345100 is a wasteful number, since it uses less digits than its factorization.

46116345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23448 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 46116345100 in words is "forty-six billion, one hundred sixteen million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 409 490 700 818 980 1225 1636 2045 2450 2863 4090 4900 5726 8180 10225 11452 14315 20041 20450 23011 28630 40082 40900 46022 57260 71575 80164 92044 100205 115055 143150 161077 200410 230110 286300 322154 400820 460220 501025 575275 644308 805385 1002050 1127539 1150550 1610770 2004100 2255078 2301100 3221540 4026925 4510156 5637695 8053850 9411499 11275390 16107700 18822998 22550780 28188475 37645996 47057495 56376950 65880493 94114990 112753900 131760986 188229980 235287475 263521972 329402465 461163451 470574950 658804930 922326902 941149900 1317609860 1647012325 1844653804 2305817255 3294024650 4611634510 6588049300 9223269020 11529086275 23058172550 46116345100