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315450250063164 = 223414911933547583
BaseRepresentation
bin100011110111001100111110…
…0000110010110110100111100
31112100220202020022020000220000
41013232121330012112310330
5312321314103004010124
63034523502211154300
7123305346160240446
oct10756317406266474
91470822208200800
10315450250063164
119156a777431617
122b4684565a5990
1310702aa57679c8
1457c7c330d5496
1526708b91a96c9
hex11ee67c196d3c

315450250063164 has 120 divisors (see below), whose sum is σ = 830254910284800. Its totient is φ = 104435434809216.

The previous prime is 315450250063139. The next prime is 315450250063189. The reversal of 315450250063164 is 461360052054513.

It is a happy number.

315450250063164 is a `hidden beast` number, since 3 + 1 + 5 + 4 + 5 + 0 + 2 + 5 + 0 + 0 + 631 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (315450250063139) and next prime (315450250063189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 575803717 + ... + 576351299.

It is an arithmetic number, because the mean of its divisors is an integer number (6918790919040).

Almost surely, 2315450250063164 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 315450250063164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415127455142400).

315450250063164 is an abundant number, since it is smaller than the sum of its proper divisors (514804660221636).

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

315450250063164 is a wasteful number, since it uses less digits than its factorization.

315450250063164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559681 (or 559670 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 315450250063164 in words is "three hundred fifteen trillion, four hundred fifty billion, two hundred fifty million, sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 11933 12069 16092 23866 24138 35799 47732 48276 71598 107397 143196 214794 322191 429588 547583 644382 966573 1095166 1288764 1642749 1778017 1933146 2190332 3285498 3556034 3866292 4928247 5334051 6570996 7112068 9856494 10668102 14784741 16002153 19712988 21336204 29569482 32004306 44354223 48006459 59138964 64008612 81589867 88708446 96012918 144019377 163179734 177416892 192025836 244769601 288038754 326359468 489539202 576077508 734308803 979078404 1468617606 2202926409 2937235212 4405852818 6534307939 6608779227 8811705636 13068615878 13217558454 19602923817 26137231756 26435116908 39205847634 58808771451 78411695268 117617542902 176426314353 235235085804 352852628706 529278943059 705705257412 973611882911 1058557886118 1947223765822 2117115772236 2920835648733 3894447531644 5841671297466 8762506946199 11683342594932 17525013892398 26287520838597 35050027784796 52575041677194 78862562515791 105150083354388 157725125031582 315450250063164