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4670880764 = 22111773113757
BaseRepresentation
bin1000101100110011…
…11111101111111100
3110001112002022211212
410112121333233330
534031221141024
62051253103552
7223514555114
oct42631775774
913045068755
104670880764
111a87654940
12aa4327bb8
13595906994
143244ac044
151c50e4a0e
hex11667fbfc

4670880764 has 96 divisors (see below), whose sum is σ = 9668465856. Its totient is φ = 1950842880.

The previous prime is 4670880707. The next prime is 4670880769.

4670880764 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46708807642 = 43634254223010447392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4670880769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6169874 + ... + 6170630.

It is an arithmetic number, because the mean of its divisors is an integer number (100713186).

Almost surely, 24670880764 is an apocalyptic number.

4670880764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4670880764 is an abundant number, since it is smaller than the sum of its proper divisors (4997585092).

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

4670880764 is a wasteful number, since it uses less digits than its factorization.

4670880764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The square root of 4670880764 is about 68343.8421805505. The cubic root of 4670880764 is about 1671.6021728314.

The spelling of 4670880764 in words is "four billion, six hundred seventy million, eight hundred eighty thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 68 73 113 146 187 226 292 374 452 748 757 803 1241 1243 1514 1606 1921 2482 2486 3028 3212 3842 4964 4972 7684 8249 8327 12869 13651 16498 16654 21131 25738 27302 32996 33308 42262 51476 54604 55261 84524 85541 90739 110522 140233 141559 171082 181478 221044 280466 283118 342164 362956 560932 566236 607871 939437 940951 1215742 1454197 1542563 1878874 1881902 2431484 2908394 3085126 3757748 3763804 5816788 6170252 6244493 10333807 12488986 15996167 20667614 24977972 31992334 41335228 63984668 68689423 106156381 137378846 212312762 274757692 424625524 1167720191 2335440382 4670880764