Search a number
-
+
153246236610030 = 235231911316388339
BaseRepresentation
bin100010110110000001101011…
…011111110000110111101110
3202002121012022201100220111020
4202312001223133300313232
5130041241243033010110
61301532203232435010
744164450413520014
oct4266015337606756
9662535281326436
10153246236610030
1144913400499643
12152301926a8a66
13676809a86b115
1429bb22bda28b4
1512ab4463a3d70
hex8b606b7f0dee

153246236610030 has 128 divisors (see below), whose sum is σ = 385824884981760. Its totient is φ = 38880847040640.

The previous prime is 153246236610029. The next prime is 153246236610067. The reversal of 153246236610030 is 30016632642351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1734707601 + ... + 1734795939.

It is an arithmetic number, because the mean of its divisors is an integer number (3014256913920).

Almost surely, 2153246236610030 is an apocalyptic number.

153246236610030 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 153246236610030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192912442490880).

153246236610030 is an abundant number, since it is smaller than the sum of its proper divisors (232578648371730).

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

153246236610030 is a wasteful number, since it uses less digits than its factorization.

153246236610030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101726.

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 153246236610030 in words is "one hundred fifty-three trillion, two hundred forty-six billion, two hundred thirty-six million, six hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 191 230 345 382 573 690 955 1146 1910 2865 4393 5730 8786 13163 13179 21965 26326 26358 39489 43930 65815 65895 78978 88339 131630 131790 176678 197445 265017 302749 394890 441695 530034 605498 883390 908247 1325085 1513745 1816494 2031797 2514133 2650170 3027490 4063594 4541235 5028266 6095391 7542399 9082470 10158985 12190782 12570665 15084798 16872749 20317970 25141330 30476955 33745498 37711995 50618247 57825059 60953910 75423990 84363745 101236494 115650118 168727490 173475177 253091235 289125295 346950354 388073227 506182470 578250590 776146454 867375885 1162806257 1164219681 1734751770 1940366135 2325612514 2328439362 3488418771 3880732270 5814031285 5821098405 6976837542 11628062570 11642196810 17442093855 26744543911 34884187710 53489087822 80233631733 133722719555 160467263466 222095995087 267445439110 401168158665 444191990174 666287985261 802336317330 1110479975435 1332575970522 2220959950870 3331439926305 5108207887001 6662879852610 10216415774002 15324623661003 25541039435005 30649247322006 51082078870010 76623118305015 153246236610030