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3724694016 = 29317672129
BaseRepresentation
bin1101111000000010…
…0101001000000000
3100121120200001122020
43132000211020000
530112010202031
61413333041440
7161205243141
oct33600451000
910546601566
103724694016
11164154681a
1287b486280
1347488b774
1427496bac8
1516bee3096
hexde025200

3724694016 has 160 divisors (see below), whose sum is σ = 10668335040. Its totient is φ = 1150550016.

The previous prime is 3724693969. The next prime is 3724694087. The reversal of 3724694016 is 6104964273.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1748440 + ... + 1750568.

It is an arithmetic number, because the mean of its divisors is an integer number (66677094).

Almost surely, 23724694016 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 3724694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334167520).

3724694016 is an abundant number, since it is smaller than the sum of its proper divisors (6943641024).

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

3724694016 is a wasteful number, since it uses less digits than its factorization.

3724694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3724694016 is about 61030.2713085892. The cubic root of 3724694016 is about 1550.1136255239.

The spelling of 3724694016 in words is "three billion, seven hundred twenty-four million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 128 134 136 192 201 204 256 268 272 384 402 408 512 536 544 768 804 816 1072 1088 1139 1536 1608 1632 2129 2144 2176 2278 3216 3264 3417 4258 4288 4352 4556 6387 6432 6528 6834 8516 8576 8704 9112 12774 12864 13056 13668 17032 17152 18224 25548 25728 26112 27336 34064 34304 36193 36448 51096 51456 54672 68128 72386 72896 102192 102912 108579 109344 136256 142643 144772 145792 204384 217158 218688 272512 285286 289544 291584 408768 427929 434316 437376 545024 570572 579088 583168 817536 855858 868632 874752 1090048 1141144 1158176 1635072 1711716 1737264 1749504 2282288 2316352 2424931 3270144 3423432 3474528 4564576 4632704 4849862 6846864 6949056 7274793 9129152 9265408 9699724 13693728 13898112 14549586 18258304 18530816 19399448 27387456 27796224 29099172 36516608 38798896 54774912 55592448 58198344 73033216 77597792 109549824 116396688 155195584 219099648 232793376 310391168 465586752 620782336 931173504 1241564672 1862347008 3724694016