Search a number
-
+
10148702818168 = 23232915725747137
BaseRepresentation
bin1001001110101110110111…
…0100111000111101111000
31022221012120112211002202101
42103223231310320331320
52312234020410140133
633330125534313144
72065135213423315
oct223535564707570
938835515732671
1010148702818168
11326304a18a272
12117aa780587b4
13588031a48665
142712b24d3d0c
15128ecebdc37d
hex93aedd38f78

10148702818168 has 128 divisors (see below), whose sum is σ = 20752561065600. Its totient is φ = 4638291001344.

The previous prime is 10148702818157. The next prime is 10148702818211. The reversal of 10148702818168 is 86181820784101.

It is a happy number.

It is a super-2 number, since 2×101487028181682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215278696 + ... + 215325832.

It is an arithmetic number, because the mean of its divisors is an integer number (162129383325).

Almost surely, 210148702818168 is an apocalyptic number.

It is an amenable number.

10148702818168 is an abundant number, since it is smaller than the sum of its proper divisors (10603858247432).

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

10148702818168 is a wasteful number, since it uses less digits than its factorization.

10148702818168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47609 (or 47605 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 55.

The spelling of 10148702818168 in words is "ten trillion, one hundred forty-eight billion, seven hundred two million, eight hundred eighteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 23 29 46 58 92 116 157 184 232 257 314 514 628 667 1028 1256 1334 2056 2668 3611 4553 5336 5911 7222 7453 9106 11822 14444 14906 18212 23644 28888 29812 36424 40349 47137 47288 59624 80698 94274 104719 161396 171419 188548 209438 322792 342838 377096 418876 685676 837752 928027 1084151 1170121 1366973 1371352 1856054 2168302 2340242 2733946 3712108 4336604 4680484 5467892 7400509 7424216 8673208 9360968 10935784 12114209 14801018 24228418 26912783 29602036 31440379 48456836 53825566 59204072 62880758 96913672 107651132 125761516 170211707 214614761 215302264 251523032 278626807 340423414 351312061 429229522 557253614 680846828 702624122 858459044 1114507228 1361693656 1405248244 1716918088 1901930813 2229014456 2810496488 3803861626 4936139503 7607723252 8080177403 9872279006 15215446504 16160354806 19744558012 32320709612 39489116024 43744408699 55155993577 64641419224 87488817398 110311987154 174977634796 220623974308 349955269592 441247948616 1268587852271 2537175704542 5074351409084 10148702818168