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106311790644 = 22371844314779
BaseRepresentation
bin110001100000010101…
…1010011000000110100
3101011102001101112021120
41203000223103000310
53220211304300034
6120501114343540
710452335211333
oct1430053230064
9334361345246
10106311790644
11410a5263904
121872b72abb0
13a043373bc7
145207431d1a
152b7340ec49
hex18c0ad3034

106311790644 has 48 divisors (see below), whose sum is σ = 251601477120. Its totient is φ = 34931645280.

The previous prime is 106311790553. The next prime is 106311790649. The reversal of 106311790644 is 446097113601.

It is a super-2 number, since 2×1063117906442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106311790596 and 106311790605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106311790649) 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, 7186047 + ... + 7200825.

It is an arithmetic number, because the mean of its divisors is an integer number (5241697440).

Almost surely, 2106311790644 is an apocalyptic number.

It is an amenable number.

106311790644 is an abundant number, since it is smaller than the sum of its proper divisors (145289686476).

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

106311790644 is a wasteful number, since it uses less digits than its factorization.

106311790644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23300 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 106311790644 in words is "one hundred six billion, three hundred eleven million, seven hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 8443 14779 16886 25329 29558 33772 44337 50658 59116 88674 101316 177348 599453 1049309 1198906 1798359 2098618 2397812 3147927 3596718 4197236 6295854 7193436 12591708 124779097 249558194 374337291 499116388 748674582 1497349164 8859315887 17718631774 26577947661 35437263548 53155895322 106311790644