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10150061364 = 223219292392141
BaseRepresentation
bin10010111001111110…
…11010010100110100
3222012101010112121200
421130333122110310
5131241403430424
64355103012500
7506346045432
oct113477322464
928171115550
1010150061364
114339499373
121b7329a130
13c59b0b291
146c4065d52
153e61508c9
hex25cfda534

10150061364 has 144 divisors (see below), whose sum is σ = 28068768000. Its totient is φ = 3080367360.

The previous prime is 10150061353. The next prime is 10150061387. The reversal of 10150061364 is 46316005101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4739734 + ... + 4741874.

It is an arithmetic number, because the mean of its divisors is an integer number (194922000).

Almost surely, 210150061364 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 10150061364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384000).

10150061364 is an abundant number, since it is smaller than the sum of its proper divisors (17918706636).

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

10150061364 is a wasteful number, since it uses less digits than its factorization.

10150061364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10150061364 its reverse (46316005101), we get a palindrome (56466066465).

The spelling of 10150061364 in words is "ten billion, one hundred fifty million, sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 239 261 342 348 478 522 551 684 717 956 1044 1102 1434 1653 2141 2151 2204 2868 3306 4282 4302 4541 4959 6423 6612 6931 8564 8604 9082 9918 12846 13623 13862 18164 19269 19836 20793 25692 27246 27724 38538 40679 40869 41586 54492 62089 62379 77076 81358 81738 83172 122037 124178 124758 131689 162716 163476 186267 244074 248356 249516 263378 366111 372534 395067 488148 511699 526756 558801 732222 745068 790134 1023398 1117602 1179691 1185201 1464444 1535097 1580268 2046796 2235204 2359382 2370402 3070194 3539073 4605291 4718764 4740804 6140388 7078146 9210582 9722281 10617219 14156292 14839271 18421164 19444562 21234438 29166843 29678542 38889124 42468876 44517813 58333686 59357084 87500529 89035626 116667372 133553439 175001058 178071252 267106878 281946149 350002116 534213756 563892298 845838447 1127784596 1691676894 2537515341 3383353788 5075030682 10150061364