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655564904448 = 2113271393727
BaseRepresentation
bin10011000101000101011…
…01101001100000000000
32022200010110000122220020
421202202231221200000
541220044103420243
61221055023013440
765235336513666
oct11424255514000
92280113018806
10655564904448
11233029330733
12a707743a280
1349a865b72ac
1423a2dac4c36
15120bd053283
hex98a2b69800

655564904448 has 96 divisors (see below), whose sum is σ = 1754199982080. Its totient is φ = 217714728960.

The previous prime is 655564904441. The next prime is 655564904483. The reversal of 655564904448 is 844409465556.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 655564904391 and 655564904400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655564904441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468161 + ... + 1861887.

It is an arithmetic number, because the mean of its divisors is an integer number (18272916480).

Almost surely, 2655564904448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655564904448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877099991040).

655564904448 is an abundant number, since it is smaller than the sum of its proper divisors (1098635077632).

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

655564904448 is a wasteful number, since it uses less digits than its factorization.

655564904448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394023 (or 394003 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 655564904448 in words is "six hundred fifty-five billion, five hundred sixty-four million, nine hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1024 1084 1536 1626 2048 2168 3072 3252 4336 6144 6504 8672 13008 17344 26016 34688 52032 69376 104064 138752 208128 277504 393727 416256 555008 787454 832512 1181181 1574908 1665024 2362362 3149816 4724724 6299632 9449448 12599264 18898896 25198528 37797792 50397056 75595584 100794112 106700017 151191168 201588224 213400034 302382336 320100051 403176448 426800068 604764672 640200102 806352896 853600136 1209529344 1280400204 1707200272 2419058688 2560800408 3414400544 5121600816 6828801088 10243201632 13657602176 20486403264 27315204352 40972806528 54630408704 81945613056 109260817408 163891226112 218521634816 327782452224 655564904448