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3940106816 = 26235774639
BaseRepresentation
bin1110101011011001…
…0100001001000000
3101011121000011110002
43222312110021000
531032131404231
61450550055132
7166432232612
oct35266241100
911147004402
103940106816
1117420a6628
1291b64a4a8
134aa3b1269
14295402db2
15180d940cb
hexead94240

3940106816 has 56 divisors (see below), whose sum is σ = 8174492160. Its totient is φ = 1880727552.

The previous prime is 3940106809. The next prime is 3940106897. The reversal of 3940106816 is 6186010493.

It is a self number, because there is not a number n which added to its sum of digits gives 3940106816.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 847025 + ... + 851663.

Almost surely, 23940106816 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 3940106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087246080).

3940106816 is an abundant number, since it is smaller than the sum of its proper divisors (4234385344).

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

3940106816 is a wasteful number, since it uses less digits than its factorization.

3940106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 3940106816 is about 62770.2701603235. The cubic root of 3940106816 is about 1579.4383005765.

The spelling of 3940106816 in words is "three billion, nine hundred forty million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 577 736 1154 1472 2308 4616 4639 9232 9278 13271 18464 18556 26542 36928 37112 53084 74224 106168 106697 148448 212336 213394 296896 424672 426788 849344 853576 1707152 2676703 3414304 5353406 6828608 10706812 21413624 42827248 61564169 85654496 123128338 171308992 246256676 492513352 985026704 1970053408 3940106816