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3964698640 = 245719336683
BaseRepresentation
bin1110110001010000…
…1000000000010000
3101020022021120002101
43230110020000100
531104430324030
61453225130144
7200151245110
oct35424100020
911208246071
103964698640
111754a72851
12927929954
134b2511736
142987a5040
151831007ca
hexec508010

3964698640 has 80 divisors (see below), whose sum is σ = 10589643648. Its totient is φ = 1352245248.

The previous prime is 3964698611. The next prime is 3964698643. The reversal of 3964698640 is 468964693.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3964698643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89739 + ... + 126421.

Almost surely, 23964698640 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 3964698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294821824).

3964698640 is an abundant number, since it is smaller than the sum of its proper divisors (6624945008).

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

3964698640 is a wasteful number, since it uses less digits than its factorization.

3964698640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36896 (or 36890 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The square root of 3964698640 is about 62965.8529680969. The cubic root of 3964698640 is about 1582.7174620691.

The spelling of 3964698640 in words is "three billion, nine hundred sixty-four million, six hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 193 280 386 560 772 965 1351 1544 1930 2702 3088 3860 5404 6755 7720 10808 13510 15440 21616 27020 36683 54040 73366 108080 146732 183415 256781 293464 366830 513562 586928 733660 1027124 1283905 1467320 2054248 2567810 2934640 4108496 5135620 7079819 10271240 14159638 20542480 28319276 35399095 49558733 56638552 70798190 99117466 113277104 141596380 198234932 247793665 283192760 396469864 495587330 566385520 792939728 991174660 1982349320 3964698640