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5030931100968 = 23322914291686109
BaseRepresentation
bin100100100110101101011…
…0111000111010100101000
3122210221201020102212012100
41021031122313013110220
51124411321330212333
614411102225213400
71026321106532103
oct111153267072450
918727636385170
105030931100968
11166a6734a5523
12693040791260
132a6551321b86
141356d972573a
158acece6c213
hex4935adc7528

5030931100968 has 96 divisors (see below), whose sum is σ = 14105153205000. Its totient is φ = 1618016214528.

The previous prime is 5030931100963. The next prime is 5030931100973. The reversal of 5030931100968 is 8690011390305.

5030931100968 is a `hidden beast` number, since 503 + 0 + 9 + 31 + 100 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5030931100963) and next prime (5030931100973).

It can be written as a sum of positive squares in 4 ways, for example, as 2782964641284 + 2247966459684 = 1668222^2 + 1499322^2 .

It is a super-2 number, since 2×50309311009682 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5030931100963) 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, 2140698 + ... + 3826806.

Almost surely, 25030931100968 is an apocalyptic number.

5030931100968 is a gapful number since it is divisible by the number (58) 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 5030931100968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052576602500).

5030931100968 is an abundant number, since it is smaller than the sum of its proper divisors (9074222104032).

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

5030931100968 is a wasteful number, since it uses less digits than its factorization.

5030931100968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687579 (or 1687572 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

It can be divided in two parts, 503093 and 1100968, that added together give a palindrome (1604061).

The spelling of 5030931100968 in words is "five trillion, thirty billion, nine hundred thirty-one million, one hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1429 2088 2858 4287 5716 8574 11432 12861 17148 25722 34296 41441 51444 82882 102888 124323 165764 248646 331528 372969 497292 745938 994584 1491876 1686109 2983752 3372218 5058327 6744436 10116654 13488872 15174981 20233308 30349962 40466616 48897161 60699924 97794322 121399848 146691483 195588644 293382966 391177288 440074449 586765932 880148898 1173531864 1760297796 2409449761 3520595592 4818899522 7228349283 9637799044 14456698566 19275598088 21685047849 28913397132 43370095698 57826794264 69874043069 86740191396 139748086138 173480382792 209622129207 279496172276 419244258414 558992344552 628866387621 838488516828 1257732775242 1676977033656 2515465550484 5030931100968