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125379760467864 = 23375921375919181
BaseRepresentation
bin11100100000100001000000…
…000101011010111110011000
3121102221012002002012202210010
4130200201000011122332120
5112413210222134432424
61122354400010121520
735260250226520110
oct3440410005327630
9542835062182703
10125379760467864
1136a4a292160001
121208b5301202a0
1354c6350938746
1422d65ac980040
15e7663698c229
hex72084015af98

125379760467864 has 128 divisors (see below), whose sum is σ = 364470080140800. Its totient is φ = 35199137848320.

The previous prime is 125379760467811. The next prime is 125379760467877. The reversal of 125379760467864 is 468764067973521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18222354 + ... + 24141534.

It is an arithmetic number, because the mean of its divisors is an integer number (2847422501100).

It is a 1-persistent number, because it is pandigital, but 2⋅125379760467864 = 250759520935728 is not.

Almost surely, 2125379760467864 is an apocalyptic number.

125379760467864 is a gapful number since it is divisible by the number (14) 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 125379760467864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182235040070400).

125379760467864 is an abundant number, since it is smaller than the sum of its proper divisors (239090319672936).

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

125379760467864 is a wasteful number, since it uses less digits than its factorization.

125379760467864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921393 (or 5921389 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 75.

The spelling of 125379760467864 in words is "one hundred twenty-five trillion, three hundred seventy-nine billion, seven hundred sixty million, four hundred sixty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2137 2478 3304 4274 4956 6411 8548 9912 12822 14959 17096 25644 29918 44877 51288 59836 89754 119672 126083 179508 252166 359016 378249 504332 756498 882581 1008664 1512996 1765162 2647743 3025992 3530324 5295486 5919181 7060648 10590972 11838362 17757543 21181944 23676724 35515086 41434267 47353448 71030172 82868534 124302801 142060344 165737068 248605602 331474136 349231679 497211204 698463358 994422408 1047695037 1396926716 2095390074 2444621753 2793853432 4190780148 4889243506 7333865259 8381560296 9778487012 12649289797 14667730518 19556974024 25298579594 29335461036 37947869391 50597159188 58670922072 75895738782 88545028579 101194318376 151791477564 177090057158 265635085737 303582955128 354180114316 531270171474 708360228632 746308098023 1062540342948 1492616196046 2125080685896 2238924294069 2985232392092 4477848588138 5224156686161 5970464784184 8955697176276 10448313372322 15672470058483 17911394352552 20896626744644 31344940116966 41793253489288 62689880233932 125379760467864