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4318976640 = 2735111947229
BaseRepresentation
bin1000000010110111…
…00101101010000000
3102010222220202010210
410001123211222000
532321124223030
61552322354120
7212012460426
oct40133455200
912128822123
104318976640
111916a4a090
12a064bb940
1353aa34ba4
142cd867116
151a4281bb0
hex1016e5a80

4318976640 has 512 divisors, whose sum is σ = 16215552000. Its totient is φ = 966574080.

The previous prime is 4318976611. The next prime is 4318976653. The reversal of 4318976640 is 466798134.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4318976640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18860046 + ... + 18860274.

It is an arithmetic number, because the mean of its divisors is an integer number (31671000).

Almost surely, 24318976640 is an apocalyptic number.

4318976640 is a gapful number since it is divisible by the number (40) 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 4318976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107776000).

4318976640 is an abundant number, since it is smaller than the sum of its proper divisors (11896575360).

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

4318976640 is a wasteful number, since it uses less digits than its factorization.

4318976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 4318976640 is about 65718.9214762385. The cubic root of 4318976640 is about 1628.5219567261.

The spelling of 4318976640 in words is "four billion, three hundred eighteen million, nine hundred seventy-six thousand, six hundred forty".