Search a number
-
+
10164521047770 = 2345171607459343
BaseRepresentation
bin1001001111101001110010…
…1010101001011011011010
31022222201101221121102110000
42103322130222221123122
52313013414342012040
633341303322033430
72066235210232635
oct223723452513332
938881357542400
1010164521047770
1132698271632a1
121181b51648876
13589682c5ac2b
14271d7326ac1c
1512960877a130
hex93e9caa96da

10164521047770 has 160 divisors (see below), whose sum is σ = 28957060459008. Its totient is φ = 2549502438912.

The previous prime is 10164521047739. The next prime is 10164521047843. The reversal of 10164521047770 is 7774012546101.

10164521047770 is a `hidden beast` number, since 1 + 0 + 1 + 64 + 52 + 1 + 0 + 477 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21898719 + ... + 22358061.

Almost surely, 210164521047770 is an apocalyptic number.

10164521047770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164521047770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478530229504).

10164521047770 is an abundant number, since it is smaller than the sum of its proper divisors (18792539411238).

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

10164521047770 is a wasteful number, since it uses less digits than its factorization.

10164521047770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460986 (or 460977 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10164521047770 in words is "ten trillion, one hundred sixty-four billion, five hundred twenty-one million, forty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 1607 2295 2754 3214 4590 4821 6885 8035 9642 13770 14463 16070 24105 27319 28926 43389 48210 54638 72315 81957 86778 130167 136595 144630 163914 216945 245871 260334 273190 409785 433890 459343 491742 650835 737613 819570 918686 1229355 1301670 1378029 1475226 2212839 2296715 2458710 2756058 3688065 4134087 4425678 4593430 6890145 7376130 7808831 8268174 11064195 12402261 13780290 15617662 20670435 22128390 23426493 24804522 37206783 39044155 41340870 46852986 62011305 70279479 74413566 78088310 117132465 124022610 140558958 186033915 210838437 234264930 351397395 372067830 421676874 632515311 702794790 738164201 1054192185 1265030622 1476328402 2108384370 2214492603 3162576555 3690821005 4428985206 6325153110 6643477809 7381642010 11072463015 12548791417 13286955618 19930433427 22144926030 25097582834 33217389045 37646374251 39860866854 59791300281 62743957085 66434778090 75292748502 99652167135 112939122753 119582600562 125487914170 188231871255 199304334270 225878245506 298956501405 338817368259 376463742510 564695613765 597913002810 677634736518 1016452104777 1129391227530 1694086841295 2032904209554 3388173682590 5082260523885 10164521047770