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4070871936 = 273223153641
BaseRepresentation
bin1111001010100100…
…1001001110000000
3101111201001201110200
43302221021032000
531314120400221
61511540525200
7202610561205
oct36251111600
911451051420
104070871936
1117a99a037a
129573b0800
134cb507081
142a8921cac
1518c5c4426
hexf2a49380

4070871936 has 96 divisors (see below), whose sum is σ = 12223757520. Its totient is φ = 1297950720.

The previous prime is 4070871929. The next prime is 4070871947. The reversal of 4070871936 is 6391780704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4070871891 and 4070871900.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 50325 + ... + 103316.

Almost surely, 24070871936 is an apocalyptic number.

4070871936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4070871936 is an abundant number, since it is smaller than the sum of its proper divisors (8152885584).

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

4070871936 is a wasteful number, since it uses less digits than its factorization.

4070871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153684 (or 153669 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4070871936 is about 63803.3849885725. The cubic root of 4070871936 is about 1596.7214030066.

The spelling of 4070871936 in words is "four billion, seventy million, eight hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 153641 307282 460923 614564 921846 1229128 1382769 1843692 2458256 2765538 3533743 3687384 4916512 5531076 7067486 7374768 9833024 10601229 11062152 14134972 14749536 19666048 21202458 22124304 28269944 29499072 31803687 42404916 44248608 56539888 58998144 63607374 84809832 88497216 113079776 127214748 169619664 176994432 226159552 254429496 339239328 452319104 508858992 678478656 1017717984 1356957312 2035435968 4070871936