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105413455632 = 2439722640347
BaseRepresentation
bin110001000101100100…
…0011010111100010000
3101002002110000101022110
41202023020122330100
53211341321040012
6120232024105320
710421146405662
oct1421310327420
9332073011273
10105413455632
1140784169481
121851a905240
139c2c211324
14515ddca532
152b1e61173c
hex188b21af10

105413455632 has 40 divisors (see below), whose sum is σ = 275125508896. Its totient is φ = 34775571456.

The previous prime is 105413455627. The next prime is 105413455633. The reversal of 105413455632 is 236554314501.

It is a happy number.

It is a super-2 number, since 2×1054134556322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413455633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11315518 + ... + 11324829.

Almost surely, 2105413455632 is an apocalyptic number.

105413455632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105413455632 is an abundant number, since it is smaller than the sum of its proper divisors (169712053264).

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

105413455632 is a wasteful number, since it uses less digits than its factorization.

105413455632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22640455 (or 22640449 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 105413455632 in words is "one hundred five billion, four hundred thirteen million, four hundred fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 22640347 45280694 67921041 90561388 135842082 181122776 271684164 362245552 543368328 1086736656 2196113659 4392227318 6588340977 8784454636 13176681954 17568909272 26353363908 35137818544 52706727816 105413455632