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38905365384 = 23326617091153
BaseRepresentation
bin100100001110111100…
…001100001110001000
310201102101022100002200
4210032330030032020
51114134233143014
625512313000200
72545053102144
oct441674141610
9121371270080
1038905365384
1115555078936
1276593b3060
13389035ca82
141c51068224
15102a860a09
hex90ef0c388

38905365384 has 96 divisors (see below), whose sum is σ = 105768600600. Its totient is φ = 12919357440.

The previous prime is 38905365383. The next prime is 38905365413. The reversal of 38905365384 is 48356350983.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35800424100 + 3104941284 = 189210^2 + 55722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38905365384.

It is not an unprimeable number, because it can be changed into a prime (38905365383) 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, 33742152 + ... + 33743304.

Almost surely, 238905365384 is an apocalyptic number.

It is an amenable number.

38905365384 is an abundant number, since it is smaller than the sum of its proper divisors (66863235216).

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

38905365384 is a wasteful number, since it uses less digits than its factorization.

38905365384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38905365384 in words is "thirty-eight billion, nine hundred five million, three hundred sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 661 709 1153 1322 1418 1983 2127 2306 2644 2836 3459 3966 4254 4612 5288 5672 5949 6381 6918 7932 8508 9224 10377 11898 12762 13836 15864 17016 20754 23796 25524 27672 41508 47592 51048 83016 468649 762133 817477 937298 1405947 1524266 1634954 1874596 2286399 2452431 2811894 3048532 3269908 3749192 4217841 4572798 4904862 5623788 6097064 6539816 6859197 7357293 8435682 9145596 9809724 11247576 13718394 14714586 16871364 18291192 19619448 27436788 29429172 33742728 54873576 58858344 540352297 1080704594 1621056891 2161409188 3242113782 4322818376 4863170673 6484227564 9726341346 12968455128 19452682692 38905365384