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46415412111640 = 235111331261760727
BaseRepresentation
bin10101000110110111011100…
…01001101010100100011000
320002100021021212122022210011
422203123232021222210120
522040432231000033030
6242414540154331304
712530255116203055
oct1243335611524430
9202307255568704
1046415412111640
11138757360a9470
12525774b729b34
131cb8c542a3c80
14b667372ca02c
15557588669b2a
hex2a36ee26a918

46415412111640 has 128 divisors (see below), whose sum is σ = 126650310635520. Its totient is φ = 15077417817600.

The previous prime is 46415412111589. The next prime is 46415412111707. The reversal of 46415412111640 is 4611121451464.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46415412111593 and 46415412111602.

It is a congruent number.

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, 130703044 + ... + 131057683.

It is an arithmetic number, because the mean of its divisors is an integer number (989455551840).

Almost surely, 246415412111640 is an apocalyptic number.

46415412111640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46415412111640 is an abundant number, since it is smaller than the sum of its proper divisors (80234898523880).

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

46415412111640 is a wasteful number, since it uses less digits than its factorization.

46415412111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261760793 (or 261760789 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 46415412111640 in words is "forty-six trillion, four hundred fifteen billion, four hundred twelve million, one hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 88 104 110 124 130 143 155 220 248 260 286 310 341 403 440 520 572 620 682 715 806 1144 1240 1364 1430 1612 1705 2015 2728 2860 3224 3410 4030 4433 5720 6820 8060 8866 13640 16120 17732 22165 35464 44330 88660 177320 261760727 523521454 1047042908 1308803635 2094085816 2617607270 2879367997 3402889451 5235214540 5758735994 6805778902 8114582537 10470429080 11517471988 13611557804 14396839985 16229165074 17014447255 23034943976 27223115608 28793679970 32458330148 34028894510 37431783961 40572912685 57587359940 64916660296 68057789020 74863567922 81145825370 89260407907 105489572981 115174719880 136115578040 149727135844 162291650740 178520815814 187158919805 210979145962 299454271688 324583301480 357041631628 374317839610 421958291924 446302039535 527447864905 714083263256 748635679220 843916583848 892604079070 1054895729810 1160385302791 1497271358440 1785208158140 2109791459620 2320770605582 3570416316280 4219582919240 4641541211164 5801926513955 9283082422328 11603853027910 23207706055820 46415412111640