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4977442596 = 2237671515857
BaseRepresentation
bin1001010001010110…
…11011111100100100
3110211212221021121210
410220223123330210
540143211130341
62141523511420
7234226364310
oct45053337444
913755837553
104977442596
112124700325
12b6ab28570
13614291409
143530acb40
151e1e9cc16
hex128adbf24

4977442596 has 96 divisors (see below), whose sum is σ = 13562816512. Its totient is φ = 1391385600.

The previous prime is 4977442567. The next prime is 4977442643. The reversal of 4977442596 is 6952447794.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 846900 + ... + 852756.

Almost surely, 24977442596 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 4977442596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781408256).

4977442596 is an abundant number, since it is smaller than the sum of its proper divisors (8585373916).

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

4977442596 is a wasteful number, since it uses less digits than its factorization.

4977442596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6087 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 4977442596 is about 70550.9928774925. The cubic root of 4977442596 is about 1707.4005619682.

The spelling of 4977442596 in words is "four billion, nine hundred seventy-seven million, four hundred forty-two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 151 201 268 302 402 453 469 604 804 906 938 1057 1407 1812 1876 2114 2814 3171 4228 5628 5857 6342 10117 11714 12684 17571 20234 23428 30351 35142 40468 40999 60702 70284 70819 81998 121404 122997 141638 163996 212457 245994 283276 392419 424914 491988 784838 849828 884407 1177257 1569676 1768814 2354514 2653221 2746933 3537628 4709028 5306442 5493866 6190849 8240799 10612884 10987732 12381698 16481598 18572547 24763396 32963196 37145094 59255269 74290188 118510538 177765807 237021076 355531614 414786883 711063228 829573766 1244360649 1659147532 2488721298 4977442596