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5634424656 = 2432710354269
BaseRepresentation
bin1010011111101011…
…00111111101010000
3112112200011102120200
411033311213331100
543014403042111
62331033135200
7256424551020
oct51765477520
915480142520
105634424656
112431538703
121112b5a500
136ba41b3b3
143b6449a80
1522e9c4256
hex14fd67f50

5634424656 has 120 divisors (see below), whose sum is σ = 18196513920. Its totient is φ = 1594176768.

The previous prime is 5634424643. The next prime is 5634424667. The reversal of 5634424656 is 6564244365.

It is a happy number.

5634424656 is a `hidden beast` number, since 5 + 634 + 4 + 2 + 4 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76690 + ... + 130958.

It is an arithmetic number, because the mean of its divisors is an integer number (151637616).

Almost surely, 25634424656 is an apocalyptic number.

5634424656 is a gapful number since it is divisible by the number (56) 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 5634424656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098256960).

5634424656 is an abundant number, since it is smaller than the sum of its proper divisors (12562089264).

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

5634424656 is a wasteful number, since it uses less digits than its factorization.

5634424656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54393 (or 54384 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 5634424656 is about 75062.8047437611. The cubic root of 5634424656 is about 1779.4393571630.

The spelling of 5634424656 in words is "five billion, six hundred thirty-four million, four hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1442 1648 1854 2163 2472 2884 3708 4326 4944 5768 6489 7416 8652 11536 12978 14832 17304 25956 34608 51912 54269 103824 108538 162807 217076 325614 379883 434152 488421 651228 759766 868304 976842 1139649 1302456 1519532 1953684 2279298 2604912 3039064 3418947 3907368 4558596 5589707 6078128 6837894 7814736 9117192 11179414 13675788 16769121 18234384 22358828 27351576 33538242 39127949 44717656 50307363 54703152 67076484 78255898 89435312 100614726 117383847 134152968 156511796 201229452 234767694 268305936 313023592 352151541 402458904 469535388 626047184 704303082 804917808 939070776 1408606164 1878141552 2817212328 5634424656