Search a number
-
+
41928859016772 = 223713281136641961
BaseRepresentation
bin10011000100010010100101…
…01111110101111001000100
312111110100201021110110122220
421202021102233311321010
520443430300402014042
6225101504003052340
711555155133134320
oct1142112257657104
9174410637413586
1041928859016772
11123a5a24917242
1248521160710b0
131a51b4a1b4590
14a4d5209c6980
154ca9ec3598ec
hex262252bf5e44

41928859016772 has 96 divisors (see below), whose sum is σ = 120839592378624. Its totient is φ = 11018807654400.

The previous prime is 41928859016761. The next prime is 41928859016773. The reversal of 41928859016772 is 27761095882914.

It is a junction number, because it is equal to n+sod(n) for n = 41928859016697 and 41928859016706.

It is not an unprimeable number, because it can be changed into a prime (41928859016773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68014129 + ... + 68627832.

It is an arithmetic number, because the mean of its divisors is an integer number (1258745753944).

Almost surely, 241928859016772 is an apocalyptic number.

41928859016772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41928859016772 is an abundant number, since it is smaller than the sum of its proper divisors (78910733361852).

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

41928859016772 is a wasteful number, since it uses less digits than its factorization.

41928859016772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136642269 (or 136642267 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 69.

The spelling of 41928859016772 in words is "forty-one trillion, nine hundred twenty-eight billion, eight hundred fifty-nine million, sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 281 364 546 562 843 1092 1124 1686 1967 3372 3653 3934 5901 7306 7868 10959 11802 14612 21918 23604 25571 43836 51142 76713 102284 153426 306852 136641961 273283922 409925883 546567844 819851766 956493727 1639703532 1776345493 1912987454 2869481181 3552690986 3825974908 5329036479 5738962362 7105381972 10658072958 11477924724 12434418451 21316145916 24868836902 37303255353 38396391041 49737673804 74606510706 76792782082 115189173123 149213021412 153585564164 230378346246 268774737287 460756692492 499153083533 537549474574 806324211861 998306167066 1075098949148 1497459250599 1612648423722 1996612334132 2994918501198 3225296847444 3494071584731 5989837002396 6988143169462 10482214754193 13976286338924 20964429508386 41928859016772