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4672360992 = 253134779657
BaseRepresentation
bin1000101100111111…
…01001001000100000
3110001121212112100010
410112133221020200
534032111022432
62051344524520
7223533261465
oct42637511040
913047775303
104672360992
111a88475a72
12aa4920740
13596004660
1432477566c
151c52d83cc
hex1167e9220

4672360992 has 96 divisors (see below), whose sum is σ = 13489604352. Its totient is φ = 1407043584.

The previous prime is 4672360963. The next prime is 4672361011. The reversal of 4672360992 is 2990632764.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18828 + ... + 98484.

It is an arithmetic number, because the mean of its divisors is an integer number (140516712).

Almost surely, 24672360992 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 4672360992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744802176).

4672360992 is an abundant number, since it is smaller than the sum of its proper divisors (8817243360).

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

4672360992 is a wasteful number, since it uses less digits than its factorization.

4672360992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79730 (or 79722 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 4672360992 is about 68354.6705938958. The cubic root of 4672360992 is about 1671.7787341792.

The spelling of 4672360992 in words is "four billion, six hundred seventy-two million, three hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 752 1128 1222 1248 1504 1833 2256 2444 3666 4512 4888 7332 9776 14664 19552 29328 58656 79657 159314 238971 318628 477942 637256 955884 1035541 1274512 1911768 2071082 2549024 3106623 3743879 3823536 4142164 6213246 7487758 7647072 8284328 11231637 12426492 14975516 16568656 22463274 24852984 29951032 33137312 44926548 48670427 49705968 59902064 89853096 97340854 99411936 119804128 146011281 179706192 194681708 292022562 359412384 389363416 584045124 778726832 1168090248 1557453664 2336180496 4672360992