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6940102752 = 2532112975541
BaseRepresentation
bin1100111011010100…
…11001000001100000
3122220200000202012200
412131222121001200
5103203131242002
63104354253200
7333660620502
oct63552310140
918820022180
106940102752
112a41563a10
121418287200
13867a9399b
1449ba07d72
152a9436b1c
hex19da99060

6940102752 has 144 divisors (see below), whose sum is σ = 22272803280. Its totient is φ = 2030515200.

The previous prime is 6940102727. The next prime is 6940102753. The reversal of 6940102752 is 2572010496.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940102753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54102 + ... + 129642.

It is an arithmetic number, because the mean of its divisors is an integer number (154672245).

Almost surely, 26940102752 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 6940102752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136401640).

6940102752 is an abundant number, since it is smaller than the sum of its proper divisors (15332700528).

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

6940102752 is a wasteful number, since it uses less digits than its factorization.

6940102752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75597 (or 75586 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6940102752 is about 83307.2791057300. The cubic root of 6940102752 is about 1907.4593882589.

The spelling of 6940102752 in words is "six billion, nine hundred forty million, one hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 75541 91872 151082 226623 302164 453246 604328 679869 830951 906492 1208656 1359738 1661902 1812984 2190689 2417312 2492853 2719476 3323804 3625968 4381378 4985706 5438952 6572067 6647608 7251936 7478559 8762756 9971412 10877904 13144134 13295216 14957118 17525512 19716201 19942824 21755808 24097579 26288268 26590432 29914236 35051024 39432402 39885648 48195158 52576536 59828472 70102048 72292737 78864804 79771296 96390316 105153072 119656944 144585474 157729608 192780632 210306144 216878211 239313888 289170948 315459216 385561264 433756422 578341896 630918432 771122528 867512844 1156683792 1735025688 2313367584 3470051376 6940102752