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1261855992 = 2332331371993
BaseRepresentation
bin100101100110110…
…0110010011111000
310020221101221000010
41023031212103320
510041013342432
6325113541520
743161412305
oct11315462370
93227357003
101261855992
115983150a1
122b27148a0
13171571167
14bd8320ac
1575ba83cc
hex4b3664f8

1261855992 has 128 divisors (see below), whose sum is σ = 3491573760. Its totient is φ = 378639360.

The previous prime is 1261855979. The next prime is 1261856009. The reversal of 1261855992 is 2995581621.

1261855992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 632148 + ... + 634140.

It is an arithmetic number, because the mean of its divisors is an integer number (27277920).

Almost surely, 21261855992 is an apocalyptic number.

1261855992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261855992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745786880).

1261855992 is an abundant number, since it is smaller than the sum of its proper divisors (2229717768).

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

1261855992 is a wasteful number, since it uses less digits than its factorization.

1261855992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its digits is 388800, while the sum is 48.

The square root of 1261855992 is about 35522.6124039322. The cubic root of 1261855992 is about 1080.6123619148.

The spelling of 1261855992 in words is "one billion, two hundred sixty-one million, eight hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 37 46 62 69 74 92 93 111 124 138 148 184 186 222 248 276 296 372 444 552 713 744 851 888 1147 1426 1702 1993 2139 2294 2553 2852 3404 3441 3986 4278 4588 5106 5704 5979 6808 6882 7972 8556 9176 10212 11958 13764 15944 17112 20424 23916 26381 27528 45839 47832 52762 61783 73741 79143 91678 105524 123566 137517 147482 158286 183356 185349 211048 221223 247132 275034 294964 316572 366712 370698 442446 494264 550068 589928 633144 741396 884892 1100136 1421009 1482792 1696043 1769784 2285971 2842018 3392086 4263027 4571942 5088129 5684036 6784172 6857913 8526054 9143884 10176258 11368072 13568344 13715826 17052108 18287768 20352516 27431652 34104216 40705032 52577333 54863304 105154666 157731999 210309332 315463998 420618664 630927996 1261855992