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2107915944 = 233416731973
BaseRepresentation
bin111110110100100…
…0011111010101000
312102220102020001220
41331221003322220
513304111302234
6545055542040
7103143663351
oct17551037250
95386366056
102107915944
119919554a2
124a9b2a920
1327792cc54
1415dd4ad28
15c50cca49
hex7da43ea8

2107915944 has 64 divisors (see below), whose sum is σ = 5479064640. Its totient is φ = 675248640.

The previous prime is 2107915933. The next prime is 2107915949. The reversal of 2107915944 is 4495197012.

It is a super-2 number, since 2×21079159442 = 8886619253938822272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2107915896 and 2107915905.

It is not an unprimeable number, because it can be changed into a prime (2107915949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49942 + ... + 81914.

It is an arithmetic number, because the mean of its divisors is an integer number (85610385).

Almost surely, 22107915944 is an apocalyptic number.

2107915944 is a gapful number since it is divisible by the number (24) 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 2107915944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739532320).

2107915944 is an abundant number, since it is smaller than the sum of its proper divisors (3371148696).

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

2107915944 is a wasteful number, since it uses less digits than its factorization.

2107915944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32090 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 2107915944 is about 45912.0457396531. The cubic root of 2107915944 is about 1282.1861939466.

The spelling of 2107915944 in words is "two billion, one hundred seven million, nine hundred fifteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 201 246 268 328 402 492 536 804 984 1608 2747 5494 8241 10988 16482 21976 31973 32964 63946 65928 95919 127892 191838 255784 383676 767352 1310893 2142191 2621786 3932679 4284382 5243572 6426573 7865358 8568764 10487144 12853146 15730716 17137528 25706292 31461432 51412584 87829831 175659662 263489493 351319324 526978986 702638648 1053957972 2107915944