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10381473882 = 2321329271743
BaseRepresentation
bin10011010101100100…
…01011100001011010
3222210111120111220200
421222302023201122
5132230124131012
64434051003030
7515156033463
oct115262134132
928714514820
1010381473882
114448086a8a
122018899476
13c95a43470
14706aa3d6a
1540b6123dc
hex26ac8b85a

10381473882 has 144 divisors (see below), whose sum is σ = 25475119488. Its totient is φ = 3036620160.

The previous prime is 10381473871. The next prime is 10381473923. The reversal of 10381473882 is 28837418301.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13972003 + ... + 13972745.

It is an arithmetic number, because the mean of its divisors is an integer number (176910552).

Almost surely, 210381473882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10381473882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737559744).

10381473882 is an abundant number, since it is smaller than the sum of its proper divisors (15093645606).

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

10381473882 is a wasteful number, since it uses less digits than its factorization.

10381473882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10381473882 in words is "ten billion, three hundred eighty-one million, four hundred seventy-three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 71 78 87 117 142 174 213 234 261 377 426 522 639 743 754 841 923 1131 1278 1486 1682 1846 2059 2229 2262 2523 2769 3393 4118 4458 5046 5538 6177 6687 6786 7569 8307 9659 10933 12354 13374 15138 16614 18531 19318 21547 21866 26767 28977 32799 37062 43094 52753 53534 57954 59711 64641 65598 80301 86931 98397 105506 119422 129282 158259 160602 173862 179133 193923 196794 240903 280111 316518 358266 387846 474777 481806 537399 560222 624863 685789 776243 840333 949554 1074798 1249726 1371578 1529837 1552486 1680666 1874589 2057367 2328729 2520999 3059674 3749178 4114734 4589511 4657458 5041998 5623767 6172101 6986187 8123219 9179022 11247534 12344202 13768533 13972374 16246438 19887881 24369657 27537066 39775762 44365273 48739314 59663643 73108971 88730546 119327286 133095819 146217942 178990929 266191638 357981858 399287457 576748549 798574914 1153497098 1730245647 3460491294 5190736941 10381473882