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39728870688 = 2531333794463
BaseRepresentation
bin100101000000000001…
…100111010100100000
310210112202212202000010
4211000001213110200
51122331042330223
630130131324520
72604342554223
oct450001472440
9123482782003
1039728870688
1115937a03631
127849150740
133991b52710
141ccc5915ba
151077ccc393
hex940067520

39728870688 has 96 divisors (see below), whose sum is σ = 112644919296. Its totient is φ = 12187865088.

The previous prime is 39728870683. The next prime is 39728870693. The reversal of 39728870688 is 88607882793.

It is an interprime number because it is at equal distance from previous prime (39728870683) and next prime (39728870693).

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

It is a super-2 number, since 2×397288706882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39728870683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373345 + ... + 467807.

It is an arithmetic number, because the mean of its divisors is an integer number (1173384576).

Almost surely, 239728870688 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 39728870688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322459648).

39728870688 is an abundant number, since it is smaller than the sum of its proper divisors (72916048608).

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

39728870688 is a wasteful number, since it uses less digits than its factorization.

39728870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94826 (or 94818 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 39728870688 in words is "thirty-nine billion, seven hundred twenty-eight million, eight hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 337 416 624 674 1011 1248 1348 2022 2696 4044 4381 5392 8088 8762 10784 13143 16176 17524 26286 32352 35048 52572 70096 94463 105144 140192 188926 210288 283389 377852 420576 566778 755704 1133556 1228019 1511408 2267112 2456038 3022816 3684057 4534224 4912076 7368114 9068448 9824152 14736228 19648304 29472456 31834031 39296608 58944912 63668062 95502093 117889824 127336124 191004186 254672248 382008372 413842403 509344496 764016744 827684806 1018688992 1241527209 1528033488 1655369612 2483054418 3056066976 3310739224 4966108836 6621478448 9932217672 13242956896 19864435344 39728870688