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2445148757656 = 2311314297208591
BaseRepresentation
bin100011100101001110001…
…110010001111010011000
322122202100121202202011101
4203211032032101322120
5310030131040221111
65111141423441144
7341441031341113
oct43451616217230
98582317682141
102445148757656
11862a88802040
12335a774561b4
13149765869117
14864bad6557a
154390d3eabc1
hex2394e391e98

2445148757656 has 64 divisors (see below), whose sum is σ = 5164003676160. Its totient is φ = 1075323168000.

The previous prime is 2445148757633. The next prime is 2445148757669. The reversal of 2445148757656 is 6567578415442.

It is a happy number.

It is a super-2 number, since 2×24451487576562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 11617921 + ... + 11826511.

It is an arithmetic number, because the mean of its divisors is an integer number (80687557440).

Almost surely, 22445148757656 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 2445148757656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582001838080).

2445148757656 is an abundant number, since it is smaller than the sum of its proper divisors (2718854918504).

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

2445148757656 is a wasteful number, since it uses less digits than its factorization.

2445148757656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212936 (or 212932 counting only the distinct ones).

The product of its digits is 225792000, while the sum is 64.

The spelling of 2445148757656 in words is "two trillion, four hundred forty-five billion, one hundred forty-eight million, seven hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 4297 8594 17188 34376 47267 94534 133207 189068 208591 266414 378136 417182 532828 834364 1065656 1465277 1668728 2294501 2930554 4589002 5861108 6466321 9178004 11722216 12932642 18356008 25865284 51730568 71129531 142259062 284518124 569036248 896315527 1792631054 3585262108 7170524216 9859470797 19718941594 27785781337 39437883188 55571562674 78875766376 111143125348 222286250696 305643594707 611287189414 1222574378828 2445148757656