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2664445056 = 27371376249
BaseRepresentation
bin1001111011010000…
…0011010010000000
320212200121211111020
42132310003102000
520424044220211
61120220145440
7123012260250
oct23664032200
96780554436
102664445056
111148012009
12624398280
13336018210
141b3c19960
15108db0306
hex9ed03480

2664445056 has 128 divisors (see below), whose sum is σ = 8710800000. Its totient is φ = 702701568.

The previous prime is 2664445039. The next prime is 2664445057. The reversal of 2664445056 is 6505444662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2664444999 and 2664445017.

It is not an unprimeable number, because it can be changed into a prime (2664445057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3181 + ... + 73068.

It is an arithmetic number, because the mean of its divisors is an integer number (68053125).

Almost surely, 22664445056 is an apocalyptic number.

2664445056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355400000).

2664445056 is an abundant number, since it is smaller than the sum of its proper divisors (6046354944).

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

2664445056 is a wasteful number, since it uses less digits than its factorization.

2664445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76286 (or 76274 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 2664445056 is about 51618.2628146279. The cubic root of 2664445056 is about 1386.3373470097.

The spelling of 2664445056 in words is "two billion, six hundred sixty-four million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 76249 152498 228747 304996 457494 533743 609992 914988 991237 1067486 1219984 1601229 1829976 1982474 2134972 2439968 2973711 3202458 3659952 3964948 4269944 4879936 5947422 6404916 6938659 7319904 7929896 8539888 9759872 11894844 12809832 13877318 14639808 15859792 17079776 20815977 23789688 25619664 27754636 29279616 31719584 34159552 41631954 47579376 51239328 55509272 63439168 68319104 83263908 95158752 102478656 111018544 126878336 166527816 190317504 204957312 222037088 333055632 380635008 444074176 666111264 888148352 1332222528 2664445056