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961222656 = 21131011549
BaseRepresentation
bin111001010010110…
…001100000000000
32110222201011121010
4321102301200000
53432033111111
6235214200520
732551154262
oct7122614000
92428634533
10961222656
11453648899
12229ab3140
131241b1004
1491935b32
15595c1aa6
hex394b1800

961222656 has 96 divisors (see below), whose sum is σ = 2589678000. Its totient is φ = 317030400.

The previous prime is 961222649. The next prime is 961222699. The reversal of 961222656 is 656222169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619770 + ... + 621318.

Almost surely, 2961222656 is an apocalyptic number.

961222656 is a gapful number since it is divisible by the number (96) 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 961222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294839000).

961222656 is an abundant number, since it is smaller than the sum of its proper divisors (1628455344).

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

961222656 is a wasteful number, since it uses less digits than its factorization.

961222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1655 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 961222656 is about 31003.5910178160. The cubic root of 961222656 is about 986.9034477582.

The spelling of 961222656 in words is "nine hundred sixty-one million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 1024 1212 1536 1549 1616 2048 2424 3072 3098 3232 4647 4848 6144 6196 6464 9294 9696 12392 12928 18588 19392 24784 25856 37176 38784 49568 51712 74352 77568 99136 103424 148704 155136 156449 198272 206848 297408 310272 312898 396544 469347 594816 620544 625796 793088 938694 1189632 1251592 1586176 1877388 2379264 2503184 3172352 3754776 4758528 5006368 7509552 9517056 10012736 15019104 20025472 30038208 40050944 60076416 80101888 120152832 160203776 240305664 320407552 480611328 961222656