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38975269788 = 223271323351061
BaseRepresentation
bin100100010011000110…
…110110101110011100
310201121020211211220200
4210103012312232130
51114310132113123
625523251143500
72546562220110
oct442306665634
9121536754820
1038975269788
1115590584074
1276788a4b90
1338a1996c20
141c5a463740
151031a6d143
hex9131b6b9c

38975269788 has 144 divisors (see below), whose sum is σ = 121779193536. Its totient is φ = 10234874880.

The previous prime is 38975269771. The next prime is 38975269841. The reversal of 38975269788 is 88796257983.

38975269788 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 526 + 97 + 8 + 8 = 666.

38975269788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737778 + ... + 788838.

It is an arithmetic number, because the mean of its divisors is an integer number (845688844).

Almost surely, 238975269788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38975269788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60889596768).

38975269788 is an abundant number, since it is smaller than the sum of its proper divisors (82803923748).

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

38975269788 is a wasteful number, since it uses less digits than its factorization.

38975269788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51324 (or 51319 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 38975269788 in words is "thirty-eight billion, nine hundred seventy-five million, two hundred sixty-nine thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 233 234 252 273 364 466 468 546 699 819 932 1092 1398 1631 1638 2097 2796 3029 3262 3276 4194 4893 6058 6524 8388 9087 9786 12116 14679 18174 19572 21203 27261 29358 36348 42406 51061 54522 58716 63609 84812 102122 109044 127218 153183 190827 204244 254436 306366 357427 381654 459549 612732 663793 714854 763308 919098 1072281 1327586 1429708 1838196 1991379 2144562 2655172 3216843 3982758 4289124 4646551 5974137 6433686 7965516 9293102 11897213 11948274 12867372 13939653 18586204 23794426 23896548 27879306 35691639 41818959 47588852 55758612 71383278 83280491 83637918 107074917 142766556 154663769 166560982 167275836 214149834 249841473 309327538 333121964 428299668 463991307 499682946 618655076 749524419 927982614 999365892 1082646383 1391973921 1499048838 1855965228 2165292766 2783947842 2998097676 3247939149 4330585532 5567895684 6495878298 9743817447 12991756596 19487634894 38975269788