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6121461061764 = 22321012134178889
BaseRepresentation
bin101100100010100001110…
…0000110001100010000100
3210200012120010221210100100
41121011003200301202010
51300243223012434024
621004054351044100
71201155340334646
oct131050340614204
923605503853310
106121461061764
111a50108201934
1282a468b10630
13355336154c49
141723cd1c0896
15a93773457c9
hex59143831884

6121461061764 has 72 divisors (see below), whose sum is σ = 15627828467160. Its totient is φ = 2020163904000.

The previous prime is 6121461061711. The next prime is 6121461061769. The reversal of 6121461061764 is 4671601641216.

6121461061764 is a `hidden beast` number, since 6 + 1 + 2 + 14 + 6 + 10 + 617 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2445651844164 + 3675809217600 = 1563858^2 + 1917240^2 .

It is not an unprimeable number, because it can be changed into a prime (6121461061769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77556432 + ... + 77635320.

It is an arithmetic number, because the mean of its divisors is an integer number (217053173155).

Almost surely, 26121461061764 is an apocalyptic number.

It is an amenable number.

6121461061764 is an abundant number, since it is smaller than the sum of its proper divisors (9506367405396).

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

6121461061764 is a wasteful number, since it uses less digits than its factorization.

6121461061764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100341 (or 100336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6121461061764 in words is "six trillion, one hundred twenty-one billion, four hundred sixty-one million, sixty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 21341 42682 64023 78889 85364 128046 157778 192069 236667 256092 315556 384138 473334 710001 768276 946668 1420002 2155441 2840004 4310882 6466323 7967789 8621764 12932646 15935578 19398969 23903367 25865292 31871156 38797938 47806734 71710101 77595876 95613468 143420202 286840404 1683570149 3367140298 5050710447 6734280596 10101420894 15152131341 20202841788 30304262682 60608525364 170040585049 340081170098 510121755147 680162340196 1020243510294 1530365265441 2040487020588 3060730530882 6121461061764