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10745700252 = 22372931142297
BaseRepresentation
bin10100000000111111…
…00101111110011100
31000201212221010120020
422000133211332130
5134001344402002
64534141352140
7530200642110
oct120037457634
930655833506
1010745700252
114614738711
1220ba868650
13102333ab21
1473d1d5740
1542d5ab2bc
hex2807e5f9c

10745700252 has 96 divisors (see below), whose sum is σ = 30599761920. Its totient is φ = 2868687360.

The previous prime is 10745700197. The next prime is 10745700253. The reversal of 10745700252 is 25200754701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745700253) 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, 4368 + ... + 146664.

It is an arithmetic number, because the mean of its divisors is an integer number (318747520).

Almost surely, 210745700252 is an apocalyptic number.

10745700252 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 10745700252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299880960).

10745700252 is an abundant number, since it is smaller than the sum of its proper divisors (19854061668).

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

10745700252 is a wasteful number, since it uses less digits than its factorization.

10745700252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142371 (or 142369 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The spelling of 10745700252 in words is "ten billion, seven hundred forty-five million, seven hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 406 434 609 651 812 868 899 1218 1302 1798 2436 2604 2697 3596 5394 6293 10788 12586 18879 25172 37758 75516 142297 284594 426891 569188 853782 996079 1707564 1992158 2988237 3984316 4126613 4411207 5976474 8253226 8822414 11952948 12379839 13233621 16506452 17644828 24759678 26467242 28886291 30878449 49519356 52934484 57772582 61756898 86658873 92635347 115545164 123513796 127925003 173317746 185270694 255850006 346635492 370541388 383775009 511700012 767550018 895475021 1535100036 1790950042 2686425063 3581900084 5372850126 10745700252