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15139555254560 = 2551125571403953
BaseRepresentation
bin1101110001001111001111…
…0100000010000100100000
31222121022211122011211221102
43130103303310002010200
53441021302121121220
652111003215013532
73121540202243012
oct334236364020440
958538748154842
1015139555254560
114907716287900
12184619250a2a8
1385a866904699
143a4a890121b2
151b3c342d4775
hexdc4f3d02120

15139555254560 has 144 divisors (see below), whose sum is σ = 39384969934968. Its totient is φ = 5495405076480.

The previous prime is 15139555254511. The next prime is 15139555254569. The reversal of 15139555254560 is 6545255593151.

It can be written as a sum of positive squares in 4 ways, for example, as 6562880723344 + 8576674531216 = 2561812^2 + 2928596^2 .

It is a super-2 number, since 2×151395552545602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15139555254496 and 15139555254505.

It is not an unprimeable number, because it can be changed into a prime (15139555254569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10081544 + ... + 11485496.

Almost surely, 215139555254560 is an apocalyptic number.

15139555254560 is a gapful number since it is divisible by the number (10) 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 15139555254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692484967484).

15139555254560 is an abundant number, since it is smaller than the sum of its proper divisors (24245414680408).

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

15139555254560 is a wasteful number, since it uses less digits than its factorization.

15139555254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404547 (or 1404528 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 56.

The spelling of 15139555254560 in words is "fifteen trillion, one hundred thirty-nine billion, five hundred fifty-five million, two hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 557 605 880 968 1114 1210 1760 1936 2228 2420 2785 3872 4456 4840 5570 6127 8912 9680 11140 12254 17824 19360 22280 24508 30635 44560 49016 61270 67397 89120 98032 122540 134794 196064 245080 269588 336985 490160 539176 673970 980320 1078352 1347940 1403953 2156704 2695880 2807906 5391760 5615812 7019765 10783520 11231624 14039530 15443483 22463248 28079060 30886966 44926496 56158120 61773932 77217415 112316240 123547864 154434830 169878313 224632480 247095728 308869660 339756626 494191456 617739320 679513252 782001821 849391565 1235478640 1359026504 1564003642 1698783130 2470957280 2718053008 3128007284 3397566260 3910009105 5436106016 6256014568 6795132520 7820018210 8602020031 12512029136 13590265040 15640036420 17204040062 25024058272 27180530080 31280072840 34408080124 43010100155 62560145680 68816160248 86020200310 94622220341 125120291360 137632320496 172040400620 189244440682 275264640992 344080801240 378488881364 473111101705 688161602480 756977762728 946222203410 1376323204960 1513955525456 1892444406820 3027911050912 3784888813640 7569777627280 15139555254560