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4713870976 = 27172397971
BaseRepresentation
bin1000110001111011…
…11111011010000000
3110011111222110022221
410120331333122000
534123222332401
62055430340424
7224546146033
oct43075773200
913144873287
104713870976
111aa9948041
12ab67ba714
135a17a9589
1432a09d01a
151c8c877a1
hex118f7f680

4713870976 has 128 divisors (see below), whose sum is σ = 10493400960. Its totient is φ = 2097807360.

The previous prime is 4713870899. The next prime is 4713870989. The reversal of 4713870976 is 6790783174.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 4854171 + ... + 4855141.

It is an arithmetic number, because the mean of its divisors is an integer number (81979695).

Almost surely, 24713870976 is an apocalyptic number.

4713870976 is a gapful number since it is divisible by the number (46) 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 4713870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246700480).

4713870976 is an abundant number, since it is smaller than the sum of its proper divisors (5779529984).

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

4713870976 is a wasteful number, since it uses less digits than its factorization.

4713870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The square root of 4713870976 is about 68657.6359627973. The cubic root of 4713870976 is about 1676.7149259763.

The spelling of 4713870976 in words is "four billion, seven hundred thirteen million, eight hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 97 128 136 184 194 272 368 388 391 544 736 776 782 971 1088 1472 1552 1564 1649 1942 2176 2231 2944 3104 3128 3298 3884 4462 6208 6256 6596 7768 8924 12416 12512 13192 15536 16507 17848 22333 25024 26384 31072 33014 35696 37927 44666 50048 52768 62144 66028 71392 75854 89332 94187 105536 124288 132056 142784 151708 178664 188374 211072 264112 285568 303416 357328 376748 379661 528224 606832 714656 753496 759322 1056448 1213664 1429312 1506992 1518644 1601179 2112896 2166301 2427328 2858624 3013984 3037288 3202358 4332602 4854656 6027968 6074576 6404716 8665204 12055936 12149152 12809432 17330408 24298304 25618864 34660816 36827117 48596608 51237728 69321632 73654234 102475456 138643264 147308468 204950912 277286528 294616936 589233872 1178467744 2356935488 4713870976