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11612570940 = 22335157136973
BaseRepresentation
bin10101101000010100…
…11100010100111100
31002222022002201121000
422310022130110330
5142240304232230
65200145410300
7560525136645
oct126412342474
932868081530
1011612570940
114a19aa2473
122301039990
131130b05069
147c23aa6cc
1547e741b60
hex2b429c53c

11612570940 has 96 divisors (see below), whose sum is σ = 36358378560. Its totient is φ = 3076939008.

The previous prime is 11612570929. The next prime is 11612570941. The reversal of 11612570940 is 4907521611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11612570895 and 11612570904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11612570941) 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, 16294 + ... + 153266.

It is an arithmetic number, because the mean of its divisors is an integer number (378733110).

Almost surely, 211612570940 is an apocalyptic number.

11612570940 is a gapful number since it is divisible by the number (10) 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 11612570940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179189280).

11612570940 is an abundant number, since it is smaller than the sum of its proper divisors (24745807620).

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

11612570940 is a wasteful number, since it uses less digits than its factorization.

11612570940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137148 (or 137140 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11612570940 in words is "eleven billion, six hundred twelve million, five hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 14130 16956 21195 28260 42390 84780 136973 273946 410919 547892 684865 821838 1232757 1369730 1643676 2054595 2465514 2739460 3698271 4109190 4931028 6163785 7396542 8218380 12327570 14793084 18491355 21504761 24655140 36982710 43009522 64514283 73965420 86019044 107523805 129028566 193542849 215047610 258057132 322571415 387085698 430095220 580628547 645142830 774171396 967714245 1161257094 1290285660 1935428490 2322514188 2903142735 3870856980 5806285470 11612570940