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2112943968 = 25341495471
BaseRepresentation
bin111110111110000…
…1111011101100000
312110020212200020000
41331330033131200
513311403201333
6545355420000
7103234504332
oct17574173540
95406780200
102112943968
1199477a093
124ab754600
132789a0705
14160899452
15c5772713
hex7df0f760

2112943968 has 120 divisors (see below), whose sum is σ = 6256958400. Its totient is φ = 699459840.

The previous prime is 2112943949. The next prime is 2112943993. The reversal of 2112943968 is 8693492112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383473 + ... + 388943.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 22112943968 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 2112943968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128479200).

2112943968 is an abundant number, since it is smaller than the sum of its proper divisors (4144014432).

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

2112943968 is a wasteful number, since it uses less digits than its factorization.

2112943968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5625 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2112943968 is about 45966.7702585248. The cubic root of 2112943968 is about 1283.2048531335.

The spelling of 2112943968 in words is "two billion, one hundred twelve million, nine hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 149 162 216 288 298 324 432 447 596 648 864 894 1192 1296 1341 1788 2384 2592 2682 3576 4023 4768 5364 5471 7152 8046 10728 10942 12069 14304 16092 16413 21456 21884 24138 32184 32826 42912 43768 48276 49239 64368 65652 87536 96552 98478 128736 131304 147717 175072 193104 196956 262608 295434 386208 393912 443151 525216 590868 787824 815179 886302 1181736 1575648 1630358 1772604 2363472 2445537 3260716 3545208 4726944 4891074 6521432 7090416 7336611 9782148 13042864 14180832 14673222 19564296 22009833 26085728 29346444 39128592 44019666 58692888 66029499 78257184 88039332 117385776 132058998 176078664 234771552 264117996 352157328 528235992 704314656 1056471984 2112943968