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10038377311452 = 223474426092289
BaseRepresentation
bin1001001000010011110111…
…1010011110110011011100
31022112122210202220200010000
42102010331322132303130
52303432044042431302
633203322240014300
72054151230200560
oct222047572366334
938478722820100
1010038377311452
113220285324146
121161608301390
1357a7cbc8cc39
14269c07dbb6a0
151261c424831c
hex9213de9ecdc

10038377311452 has 60 divisors (see below), whose sum is σ = 29991201357040. Its totient is φ = 2868107802624.

The previous prime is 10038377311421. The next prime is 10038377311453. The reversal of 10038377311452 is 25411377383001.

10038377311452 is a `hidden beast` number, since 100 + 3 + 8 + 377 + 31 + 145 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10038377311398 and 10038377311407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038377311453) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2213043877 + ... + 2213048412.

Almost surely, 210038377311452 is an apocalyptic number.

10038377311452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10038377311452 is an abundant number, since it is smaller than the sum of its proper divisors (19952824045588).

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

10038377311452 is a wasteful number, since it uses less digits than its factorization.

10038377311452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426092312 (or 4426092301 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10038377311452 in words is "ten trillion, thirty-eight billion, three hundred seventy-seven million, three hundred eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 4426092289 8852184578 13278276867 17704369156 26556553734 30982646023 39834830601 53113107468 61965292046 79669661202 92947938069 119504491803 123930584092 159339322404 185895876138 239008983606 278843814207 358513475409 371791752276 478017967212 557687628414 717026950818 836531442621 1115375256828 1434053901636 1673062885242 2509594327863 3346125770484 5019188655726 10038377311452