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5431674944 = 26294771877
BaseRepresentation
bin1010000111100000…
…01100100001000000
3112000112122200021002
411003300030201000
542111002044234
62254551351132
7251413322003
oct50360144100
915015580232
105431674944
112338047863
1210770824a8
13687410657
1439754d53a
1521bcc527e
hex143c0c840

5431674944 has 112 divisors (see below), whose sum is σ = 11560942080. Its totient is φ = 2527365120.

The previous prime is 5431674929. The next prime is 5431674959. The reversal of 5431674944 is 4494761345.

It is an interprime number because it is at equal distance from previous prime (5431674929) and next prime (5431674959).

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 6193034 + ... + 6193910.

Almost surely, 25431674944 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 5431674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780471040).

5431674944 is an abundant number, since it is smaller than the sum of its proper divisors (6129267136).

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

5431674944 is a wasteful number, since it uses less digits than its factorization.

5431674944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 47.

The square root of 5431674944 is about 73699.8978561029. The cubic root of 5431674944 is about 1757.8342575578.

The spelling of 5431674944 in words is "five billion, four hundred thirty-one million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 47 58 64 71 94 116 142 188 232 284 376 464 568 752 877 928 1136 1363 1504 1754 1856 2059 2272 2726 3008 3337 3508 4118 4544 5452 6674 7016 8236 10904 13348 14032 16472 21808 25433 26696 28064 32944 41219 43616 50866 53392 56128 62267 65888 82438 87232 96773 101732 106784 124534 131776 164876 193546 203464 213568 249068 329752 387092 406928 498136 659504 774184 813856 996272 1195351 1319008 1548368 1627712 1805743 1992544 2390702 2638016 2926549 3096736 3611486 3985088 4781404 5853098 6193472 7222972 9562808 11706196 14445944 19125616 23412392 28891888 38251232 46824784 57783776 76502464 84869921 93649568 115567552 169739842 187299136 339479684 678959368 1357918736 2715837472 5431674944