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10145388708 = 223271311872609
BaseRepresentation
bin10010111001011011…
…00101100010100100
3222012001100010221100
421130231211202210
5131234204414313
64354414520100
7506261244510
oct113455454244
928161303840
1010145388708
114336897774
121b71806030
13c58b634b0
146c35ab140
153e5a2b173
hex25cb658a4

10145388708 has 144 divisors (see below), whose sum is σ = 31602130560. Its totient is φ = 2672428032.

The previous prime is 10145388697. The next prime is 10145388709. The reversal of 10145388708 is 80788354101.

It is a happy number.

10145388708 is a `hidden beast` number, since 101 + 4 + 538 + 8 + 7 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10145388709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887308 + ... + 3889916.

It is an arithmetic number, because the mean of its divisors is an integer number (219459240).

Almost surely, 210145388708 is an apocalyptic number.

10145388708 is a gapful number since it is divisible by the number (18) 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 10145388708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15801065280).

10145388708 is an abundant number, since it is smaller than the sum of its proper divisors (21456741852).

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

10145388708 is a wasteful number, since it uses less digits than its factorization.

10145388708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10145388708 in words is "ten billion, one hundred forty-five million, three hundred eighty-eight thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1187 1638 2374 2609 3276 3561 4748 5218 7122 7827 8309 10436 10683 14244 15431 15654 16618 18263 21366 23481 24927 30862 31308 33236 33917 36526 42732 46293 46962 49854 54789 61724 67834 73052 74781 92586 93924 99708 101751 108017 109578 135668 138879 149562 164367 185172 203502 216034 219156 237419 277758 299124 305253 324051 328734 407004 432068 474838 555516 610506 648102 657468 712257 949676 972153 1221012 1296204 1424514 1944306 2136771 2849028 3096883 3888612 4273542 6193766 8547084 9290649 12387532 18581298 21678181 27871947 37162596 40259479 43356362 55743894 65034543 80518958 86712724 111487788 120778437 130069086 161037916 195103629 241556874 260138172 281816353 362335311 390207258 483113748 563632706 724670622 780414516 845449059 1127265412 1449341244 1690898118 2536347177 3381796236 5072694354 10145388708