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151313202513396 = 2232711266992044507
BaseRepresentation
bin100010011001111001011001…
…101011111000010111110100
3201211202101211020200102021100
4202121321121223320113310
5124313103414320412041
61253452154155250100
743605006134015550
oct4231713153702764
9654671736612240
10151313202513396
1144238629101150
1214b79619449930
136657a09c8c351
1429518531a8860
15127600c45a6b6
hex899e59af85f4

151313202513396 has 144 divisors (see below), whose sum is σ = 476883944409600. Its totient is φ = 39300639255360.

The previous prime is 151313202513379. The next prime is 151313202513409. The reversal of 151313202513396 is 693315202313151.

151313202513396 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 1 + 3 + 2 + 0 + 251 + 3 + 396 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72987375 + ... + 75031881.

It is an arithmetic number, because the mean of its divisors is an integer number (3311694058400).

Almost surely, 2151313202513396 is an apocalyptic number.

It is an amenable number.

151313202513396 is an abundant number, since it is smaller than the sum of its proper divisors (325570741896204).

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

151313202513396 is a wasteful number, since it uses less digits than its factorization.

151313202513396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071234 (or 2071229 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 151313202513396 in words is "one hundred fifty-one trillion, three hundred thirteen billion, two hundred two million, five hundred thirteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 26699 53398 80097 106796 160194 186893 240291 293689 320388 373786 480582 560679 587378 747572 881067 961164 1121358 1174756 1682037 1762134 2044507 2055823 2242716 2643201 3364074 3524268 4089014 4111646 5286402 6133521 6167469 6728148 8178028 8223292 10572804 12267042 12334938 14311549 18400563 18502407 22489577 24534084 24669876 28623098 36801126 37004814 42934647 44979154 57246196 67468731 73602252 74009628 85869294 89958308 128803941 134937462 157427039 171738588 202406193 257607882 269874924 314854078 404812386 472281117 515215764 629708156 809624772 944562234 1416843351 1889124468 2833686702 5667373404 54586292393 109172584786 163758877179 218345169572 327517754358 382104046751 491276631537 600449216323 655035508716 764208093502 982553263074 1146312140253 1200898432646 1528416187004 1801347648969 1965106526148 2292624280506 2401796865292 3438936420759 3602695297938 4203144514261 4585248561012 5404042946907 6877872841518 7205390595876 8406289028522 10808085893814 12609433542783 13755745683036 16812578057044 21616171787628 25218867085566 37828300628349 50437734171132 75656601256698 151313202513396