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10145035256532 = 223111719237945287
BaseRepresentation
bin1001001110100001001100…
…1110010000001011010100
31022220212002221122200000020
42103220103032100023110
52312204013011202112
633324322001545140
72064645300601641
oct223502316201324
938825087580006
1010145035256532
113261537a159a0
12117a2139451b0
13587898c71847
14271045398dc8
15128d67c3248c
hex93a133902d4

10145035256532 has 96 divisors (see below), whose sum is σ = 28781862036480. Its totient is φ = 2741129694720.

The previous prime is 10145035256497. The next prime is 10145035256539. The reversal of 10145035256532 is 23565253054101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145035256539) 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, 118930008 + ... + 119015279.

It is an arithmetic number, because the mean of its divisors is an integer number (299811062880).

Almost surely, 210145035256532 is an apocalyptic number.

10145035256532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10145035256532 is an abundant number, since it is smaller than the sum of its proper divisors (18636826779948).

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

10145035256532 is a wasteful number, since it uses less digits than its factorization.

10145035256532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237945341 (or 237945339 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 10145035256532 in words is "ten trillion, one hundred forty-five billion, thirty-five million, two hundred fifty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 7106 10659 14212 21318 42636 237945287 475890574 713835861 951781148 1427671722 2617398157 2855343444 4045069879 4520960453 5234796314 7852194471 8090139758 9041920906 10469592628 12135209637 13562881359 15704388942 16180279516 18083841812 24270419274 27125762718 31408777884 44495768669 48540838548 49730564983 54251525436 76856327701 88991537338 99461129966 133487306007 149191694949 153712655402 177983074676 198922259932 230568983103 266974612014 298383389898 307425310804 461137966206 533949224028 596766779796 845419604711 922275932412 1690839209422 2536258814133 3381678418844 5072517628266 10145035256532