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10153012413544 = 23711132355124291
BaseRepresentation
bin1001001110111110111010…
…1100101100010001101000
31022221121200220002020012221
42103233232230230101220
52312321332134213134
633332121324043424
72065350053402320
oct223575654542150
938847626066187
1010153012413544
113264960901040
12117b87b393574
1358856a8474b0
142715a09d8280
151291832195b4
hex93beeb2c468

10153012413544 has 128 divisors (see below), whose sum is σ = 26671337441280. Its totient is φ = 3492675014400.

The previous prime is 10153012413529. The next prime is 10153012413547. The reversal of 10153012413544 is 44531421035101.

It is a super-2 number, since 2×101530124135442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10153012413547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27377962 + ... + 27746329.

It is an arithmetic number, because the mean of its divisors is an integer number (208369823760).

Almost surely, 210153012413544 is an apocalyptic number.

10153012413544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10153012413544 is an abundant number, since it is smaller than the sum of its proper divisors (16518325027736).

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

10153012413544 is a wasteful number, since it uses less digits than its factorization.

10153012413544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55124351 (or 55124347 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 10153012413544 its reverse (44531421035101), we get a palindrome (54684433448645).

The spelling of 10153012413544 in words is "ten trillion, one hundred fifty-three billion, twelve million, four hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 77 88 91 92 104 143 154 161 182 184 253 286 299 308 322 364 506 572 598 616 644 728 1001 1012 1144 1196 1288 1771 2002 2024 2093 2392 3289 3542 4004 4186 6578 7084 8008 8372 13156 14168 16744 23023 26312 46046 92092 184184 55124291 110248582 220497164 385870037 440994328 606367201 716615783 771740074 1212734402 1267858693 1433231566 1543480148 2425468804 2535717386 2866463132 3086960296 4244570407 4850937608 5016310481 5071434772 5732926264 7882773613 8489140814 8875010851 10032620962 10142869544 13946445623 15765547226 16482163009 16978281628 17750021702 20065241924 27892891246 31531094452 32964326018 33956563256 35500043404 40130483848 55179415291 55785782492 63062188904 65928652036 71000086808 97625119361 110358830582 111571564984 115375141063 131857304072 181303793099 195250238722 220717661164 230750282126 362607586198 390500477444 441435322328 461500564252 725215172396 781000954888 923001128504 1269126551693 1450430344792 2538253103386 5076506206772 10153012413544