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11422661952 = 2631311340499
BaseRepresentation
bin10101010001101011…
…11111110101000000
31002111001202100102210
422220311333311000
5141343200140302
65125243142120
7553031011302
oct125065776500
932431670383
1011422661952
114931881a99
122269514940
131100671b90
147a5093972
1546cc2c66c
hex2a8d7fd40

11422661952 has 112 divisors (see below), whose sum is σ = 32836104000. Its totient is φ = 3483475968.

The previous prime is 11422661837. The next prime is 11422661953. The reversal of 11422661952 is 25916622411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11422661952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422661953) 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, 261799 + ... + 302297.

It is an arithmetic number, because the mean of its divisors is an integer number (293179500).

Almost surely, 211422661952 is an apocalyptic number.

11422661952 is a gapful number since it is divisible by the number (12) 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 11422661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418052000).

11422661952 is an abundant number, since it is smaller than the sum of its proper divisors (21413442048).

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

11422661952 is a wasteful number, since it uses less digits than its factorization.

11422661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40640 (or 40630 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The spelling of 11422661952 in words is "eleven billion, four hundred twenty-two million, six hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 156 192 208 226 312 339 416 452 624 678 832 904 1248 1356 1469 1808 2496 2712 2938 3616 4407 5424 5876 7232 8814 10848 11752 17628 21696 23504 35256 40499 47008 70512 80998 94016 121497 141024 161996 242994 282048 323992 485988 526487 647984 971976 1052974 1295968 1579461 1943952 2105948 2591936 3158922 3887904 4211896 4576387 6317844 7775808 8423792 9152774 12635688 13729161 16847584 18305548 25271376 27458322 33695168 36611096 50542752 54916644 59493031 73222192 101085504 109833288 118986062 146444384 178479093 219666576 237972124 292888768 356958186 439333152 475944248 713916372 878666304 951888496 1427832744 1903776992 2855665488 3807553984 5711330976 11422661952