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1991278912 = 267231491297
BaseRepresentation
bin111011010110000…
…1000000101000000
312010202221110010211
41312230020011000
513034231411122
6525332003504
7100226406610
oct16654100500
95122843124
101991278912
11932030357
12476a60594
1325971295c
1414c668a40
15b9c3d877
hex76b08140

1991278912 has 112 divisors (see below), whose sum is σ = 4747564800. Its totient is φ = 810196992.

The previous prime is 1991278909. The next prime is 1991278963. The reversal of 1991278912 is 2198721991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534648 + ... + 1535944.

Almost surely, 21991278912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373782400).

1991278912 is an abundant number, since it is smaller than the sum of its proper divisors (2756285888).

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

1991278912 is a wasteful number, since it uses less digits than its factorization.

1991278912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1478 counting only the distinct ones).

The product of its digits is 163296, while the sum is 49.

The square root of 1991278912 is about 44623.7482961707. The cubic root of 1991278912 is about 1258.0870678615.

The spelling of 1991278912 in words is "one billion, nine hundred ninety-one million, two hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 149 161 184 224 298 322 368 448 596 644 736 1043 1192 1288 1297 1472 2086 2384 2576 2594 3427 4172 4768 5152 5188 6854 8344 9079 9536 10304 10376 13708 16688 18158 20752 23989 27416 29831 33376 36316 41504 47978 54832 59662 66752 72632 83008 95956 109664 119324 145264 191912 193253 208817 219328 238648 290528 383824 386506 417634 477296 581056 767648 773012 835268 954592 1352771 1535296 1546024 1670536 1909184 2705542 3092048 3341072 4444819 5411084 6184096 6682144 8889638 10822168 12368192 13364288 17779276 21644336 31113733 35558552 43288672 62227466 71117104 86577344 124454932 142234208 248909864 284468416 497819728 995639456 1991278912