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45867015840 = 2535234154621
BaseRepresentation
bin101010101101111000…
…110001111010100000
311101101112212211012110
4222231320301322200
51222413424001330
633023201155320
73212425126152
oct525570617240
9141345784173
1045867015840
11184a7809968
128a8092bb40
13442c729479
142311880ad2
1512d6b01db0
hexaade31ea0

45867015840 has 96 divisors (see below), whose sum is σ = 150762923136. Its totient is φ = 11699409920.

The previous prime is 45867015839. The next prime is 45867015853. The reversal of 45867015840 is 4851076854.

45867015840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45867015840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066271 + ... + 2088350.

It is an arithmetic number, because the mean of its divisors is an integer number (1570447116).

Almost surely, 245867015840 is an apocalyptic number.

45867015840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45867015840 is an abundant number, since it is smaller than the sum of its proper divisors (104895907296).

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

45867015840 is a wasteful number, since it uses less digits than its factorization.

45867015840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154662 (or 4154654 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 45867015840 in words is "forty-five billion, eight hundred sixty-seven million, fifteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 4154621 8309242 12463863 16618484 20773105 24927726 33236968 41546210 49855452 62319315 66473936 83092420 95556283 99710904 124638630 132947872 166184840 191112566 199421808 249277260 286668849 332369680 382225132 398843616 477781415 498554520 573337698 664739360 764450264 955562830 997109040 1146675396 1433344245 1528900528 1911125660 1994218080 2293350792 2866688490 3057801056 3822251320 4586701584 5733376980 7644502640 9173403168 11466753960 15289005280 22933507920 45867015840