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2492675491072 = 28132321415881
BaseRepresentation
bin100100010001011111000…
…010011000010100000000
322211022000211200221212011
4210101133002120110000
5311314444411203242
65145041434342304
7345042552040114
oct44213702302400
98738024627764
102492675491072
11881157370318
1234311bb8a994
1315109b0a98a0
1488909003744
1544c90a95d17
hex2445f098500

2492675491072 has 108 divisors (see below), whose sum is σ = 5601458564884. Its totient is φ = 1100444590080.

The previous prime is 2492675491039. The next prime is 2492675491087. The reversal of 2492675491072 is 2701945762942.

It can be written as a sum of positive squares in 2 ways, for example, as 1015225517056 + 1477449974016 = 1007584^2 + 1215504^2 .

It is a super-2 number, since 2×24926754910722 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2492675490998 and 2492675491016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052572 + ... + 2468452.

Almost surely, 22492675491072 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 2492675491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800729282442).

2492675491072 is an abundant number, since it is smaller than the sum of its proper divisors (3108783073812).

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

2492675491072 is a wasteful number, since it uses less digits than its factorization.

2492675491072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415956 (or 1415919 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 2492675491072 in words is "two trillion, four hundred ninety-two billion, six hundred seventy-five million, four hundred ninety-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 529 598 736 832 1058 1196 1472 1664 2116 2392 2944 3328 4232 4784 5888 6877 8464 9568 13754 16928 19136 27508 33856 38272 55016 67712 76544 110032 135424 220064 440128 880256 1415881 1760512 2831762 5663524 11327048 18406453 22654096 32565263 36812906 45308192 65130526 73625812 90616384 130261052 147251624 181232768 260522104 294503248 362465536 423348419 521044208 589006496 749001049 846696838 1042088416 1178012992 1498002098 1693393676 2084176832 2356025984 2996004196 3386787352 4168353664 4712051968 5992008392 6773574704 8336707328 9737013637 11984016784 13547149408 19474027274 23968033568 27094298816 38948054548 47936067136 54188597632 77896109096 95872134272 108377195264 155792218192 191744268544 311584436384 623168872768 1246337745536 2492675491072