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2114756904 = 2331337183191
BaseRepresentation
bin111111000001100…
…1010000100101000
312110101021210002210
41332003022010220
513312334210104
6545502325120
7103256065011
oct17603120450
95411253083
102114756904
119957a8187
124b02897a0
13279186960
14160c0c008
15c59ce989
hex7e0ca128

2114756904 has 64 divisors (see below), whose sum is σ = 5847488640. Its totient is φ = 633104640.

The previous prime is 2114756863. The next prime is 2114756909. The reversal of 2114756904 is 4096574112.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2114756909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80052 + ... + 103139.

It is an arithmetic number, because the mean of its divisors is an integer number (91367010).

Almost surely, 22114756904 is an apocalyptic number.

2114756904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114756904 is an abundant number, since it is smaller than the sum of its proper divisors (3732731736).

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

2114756904 is a wasteful number, since it uses less digits than its factorization.

2114756904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183250 (or 183246 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2114756904 is about 45986.4861018974. The cubic root of 2114756904 is about 1283.5717508953.

The spelling of 2114756904 in words is "two billion, one hundred fourteen million, seven hundred fifty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 183191 366382 549573 732764 1099146 1465528 2198292 2381483 4396584 4762966 6778067 7144449 9525932 13556134 14288898 19051864 20334201 27112268 28577796 40668402 54224536 57155592 81336804 88114871 162673608 176229742 264344613 352459484 528689226 704918968 1057378452 2114756904