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22413152001006 = 2331341897762049
BaseRepresentation
bin1010001100010011101111…
…11101101001101111101110
32221100200021002200121021000
411012021313331221233232
510414204113403013011
6115400243200221130
74502203541421144
oct506116775515756
987320232617230
1022413152001006
117161400aa4238
12261b99b30a7a6
13c67721ba7a50
14576b338c5594
1528d03e1d6356
hex146277f69bee

22413152001006 has 64 divisors (see below), whose sum is σ = 53639663112000. Its totient is φ = 6896180809728.

The previous prime is 22413152001001. The next prime is 22413152001059. The reversal of 22413152001006 is 60010025131422.

22413152001006 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 31 + 520 + 0 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413152001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29030670 + ... + 29792718.

It is an arithmetic number, because the mean of its divisors is an integer number (838119736125).

Almost surely, 222413152001006 is an apocalyptic number.

22413152001006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22413152001006 is an abundant number, since it is smaller than the sum of its proper divisors (31226511110994).

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

22413152001006 is a wasteful number, since it uses less digits than its factorization.

22413152001006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803970 (or 803964 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22413152001006 its reverse (60010025131422), we get a palindrome (82423177132428).

The spelling of 22413152001006 in words is "twenty-two trillion, four hundred thirteen billion, one hundred fifty-two million, one thousand, six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 41897 83794 125691 251382 377073 544661 754146 762049 1089322 1131219 1524098 1633983 2262438 2286147 3267966 4572294 4901949 6858441 9803898 9906637 13716882 14705847 19813274 20575323 29411694 29719911 41150646 59439822 89159733 178319466 267479199 534958398 31927566953 63855133906 95782700859 191565401718 287348102577 415058370389 574696205154 830116740778 862044307731 1245175111167 1724088615462 2490350222334 3735525333501 7471050667002 11206576000503 22413152001006