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1986112992 = 253179531277
BaseRepresentation
bin111011001100001…
…1010110111100000
312010102012222211110
41312120122313200
513031421103432
6525025143320
7100134452613
oct16630326740
95112188743
101986112992
1192a1220a6
1247518ab40
132586244b6
1414bac217a
15b956cdcc
hex7661ade0

1986112992 has 96 divisors (see below), whose sum is σ = 5530345632. Its totient is φ = 621953024.

The previous prime is 1986112967. The next prime is 1986112993. The reversal of 1986112992 is 2992116891.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1986112993) 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, 1554658 + ... + 1555934.

It is an arithmetic number, because the mean of its divisors is an integer number (57607767).

Almost surely, 21986112992 is an apocalyptic number.

1986112992 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 1986112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765172816).

1986112992 is an abundant number, since it is smaller than the sum of its proper divisors (3544232640).

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

1986112992 is a wasteful number, since it uses less digits than its factorization.

1986112992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2252 counting only the distinct ones).

The product of its digits is 139968, while the sum is 48.

The square root of 1986112992 is about 44565.8276261083. The cubic root of 1986112992 is about 1256.9981854967.

The spelling of 1986112992 in words is "one billion, nine hundred eighty-six million, one hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 953 1277 1632 1906 2554 2859 3812 3831 5108 5718 7624 7662 10216 11436 15248 15324 16201 20432 21709 22872 30496 30648 32402 40864 43418 45744 48603 61296 64804 65127 86836 91488 97206 122592 129608 130254 173672 194412 259216 260508 347344 388824 518432 521016 694688 777648 1042032 1216981 1555296 2084064 2433962 3650943 4867924 7301886 9735848 14603772 19471696 20688677 29207544 38943392 41377354 58415088 62066031 82754708 116830176 124132062 165509416 248264124 331018832 496528248 662037664 993056496 1986112992