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16941348640 = 2551747913003
BaseRepresentation
bin11111100011100100…
…00111011100100000
31121201200010200101001
433301302013130200
5234143441124030
611441023521344
71136552041666
oct176162073440
947650120331
1016941348640
117203a49a87
123349759254
13179cac9268
14b69db2c36
1569248dcca
hex3f1c87720

16941348640 has 96 divisors (see below), whose sum is σ = 42470023680. Its totient is φ = 6364114944.

The previous prime is 16941348631. The next prime is 16941348649. The reversal of 16941348640 is 4684314961.

16941348640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16941348631) and next prime (16941348649).

It is not an unprimeable number, because it can be changed into a prime (16941348649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296379 + ... + 1309381.

It is an arithmetic number, because the mean of its divisors is an integer number (442396080).

Almost surely, 216941348640 is an apocalyptic number.

16941348640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16941348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235011840).

16941348640 is an abundant number, since it is smaller than the sum of its proper divisors (25528675040).

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

16941348640 is a wasteful number, since it uses less digits than its factorization.

16941348640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 16941348640 in words is "sixteen billion, nine hundred forty-one million, three hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 479 544 680 958 1360 1916 2395 2720 3832 4790 7664 8143 9580 13003 15328 16286 19160 26006 32572 38320 40715 52012 65015 65144 76640 81430 104024 130030 130288 162860 208048 221051 260060 260576 325720 416096 442102 520120 651440 884204 1040240 1105255 1302880 1768408 2080480 2210510 3536816 4421020 6228437 7073632 8842040 12456874 17684080 24913748 31142185 35368160 49827496 62284370 99654992 105883429 124568740 199309984 211766858 249137480 423533716 498274960 529417145 847067432 996549920 1058834290 1694134864 2117668580 3388269728 4235337160 8470674320 16941348640