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6990130448 = 2471714932459
BaseRepresentation
bin1101000001010010…
…01110110100010000
3200001011011102022022
412200221032310100
5103303433133243
63113342431012
7335136062030
oct64051166420
920034142268
106990130448
112a67823514
121430b92468
1387525b882
144a450b8c0
152ada19b68
hex1a0a4ed10

6990130448 has 80 divisors (see below), whose sum is σ = 16406271360. Its totient is φ = 2816514048.

The previous prime is 6990130447. The next prime is 6990130463. The reversal of 6990130448 is 8440310996.

It is a Cunningham number, because it is equal to 836072-1.

It is a junction number, because it is equal to n+sod(n) for n = 6990130399 and 6990130408.

It is not an unprimeable number, because it can be changed into a prime (6990130447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2841443 + ... + 2843901.

It is an arithmetic number, because the mean of its divisors is an integer number (205078392).

Almost surely, 26990130448 is an apocalyptic number.

6990130448 is a gapful number since it is divisible by the number (68) 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 6990130448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203135680).

6990130448 is an abundant number, since it is smaller than the sum of its proper divisors (9416140912).

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

6990130448 is a wasteful number, since it uses less digits than its factorization.

6990130448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 6990130448 is about 83606.9999940196. Note that the first 5 decimals coincide. The cubic root of 6990130448 is about 1912.0317230663.

The spelling of 6990130448 in words is "six billion, nine hundred ninety million, one hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1493 1904 2459 2986 4918 5972 9836 10451 11944 17213 19672 20902 23888 25381 34426 39344 41803 41804 50762 68852 83606 83608 101524 137704 167212 167216 177667 203048 275408 292621 334424 355334 406096 585242 668848 710668 1170484 1421336 2340968 2842672 3671287 4681936 7342574 14685148 25699009 29370296 51398018 58740592 62411879 102796036 124823758 205592072 249647516 411184144 436883153 499295032 873766306 998590064 1747532612 3495065224 6990130448