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46374331680 = 2533510734799
BaseRepresentation
bin101011001100001000…
…000010010100100000
311102200220111010201000
4223030020002110200
51224433312103210
633145402512000
73231125213115
oct531410022440
9142626433630
1046374331680
1118738112856
128ba2805600
1344b0873461
14235cdbc90c
151316412ac0
hexacc202520

46374331680 has 96 divisors (see below), whose sum is σ = 162310176000. Its totient is φ = 12366487296.

The previous prime is 46374331669. The next prime is 46374331687. The reversal of 46374331680 is 8613347364.

46374331680 is a `hidden beast` number, since 4 + 637 + 4 + 3 + 3 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46374331687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5363080 + ... + 5371719.

It is an arithmetic number, because the mean of its divisors is an integer number (1690731000).

Almost surely, 246374331680 is an apocalyptic number.

46374331680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46374331680 is an abundant number, since it is smaller than the sum of its proper divisors (115935844320).

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

46374331680 is a wasteful number, since it uses less digits than its factorization.

46374331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734823 (or 10734809 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 46374331680 in words is "forty-six billion, three hundred seventy-four million, three hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 10734799 21469598 32204397 42939196 53673995 64408794 85878392 96613191 107347990 128817588 161021985 171756784 193226382 214695980 257635176 289839573 322043970 343513568 386452764 429391960 483065955 515270352 579679146 644087940 772905528 858783920 966131910 1030540704 1159358292 1288175880 1449197865 1545811056 1717567840 1932263820 2318716584 2576351760 2898395730 3091622112 3864527640 4637433168 5152703520 5796791460 7729055280 9274866336 11593582920 15458110560 23187165840 46374331680