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11987090832 = 243973796793
BaseRepresentation
bin10110010100111110…
…00111110110010000
31010221101211022022010
423022133013312100
5144022143401312
65301244542520
7603023406453
oct131237076620
933841738263
1011987090832
1150a1444842
1223a6551a40
131190594a72
1481a01b49a
154a257093c
hex2ca7c7d90

11987090832 has 80 divisors (see below), whose sum is σ = 31373061440. Its totient is φ = 3943489536.

The previous prime is 11987090807. The next prime is 11987090839. The reversal of 11987090832 is 23809078911.

It is a super-2 number, since 2×119870908322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11987090839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761228 + ... + 1768020.

It is an arithmetic number, because the mean of its divisors is an integer number (392163268).

Almost surely, 211987090832 is an apocalyptic number.

11987090832 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 11987090832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686530720).

11987090832 is an abundant number, since it is smaller than the sum of its proper divisors (19385970608).

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

11987090832 is a wasteful number, since it uses less digits than its factorization.

11987090832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 11987090832 in words is "eleven billion, nine hundred eighty-seven million, ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 379 388 582 758 776 1137 1164 1516 1552 2274 2328 3032 4548 4656 6064 6793 9096 13586 18192 20379 27172 36763 40758 54344 73526 81516 108688 110289 147052 163032 220578 294104 326064 441156 588208 658921 882312 1317842 1764624 1976763 2574547 2635684 3953526 5149094 5271368 7723641 7907052 10298188 10542736 15447282 15814104 20596376 30894564 31628208 41192752 61789128 123578256 249731059 499462118 749193177 998924236 1498386354 1997848472 2996772708 3995696944 5993545416 11987090832