Search a number
-
+
55768948480 = 28576224213
BaseRepresentation
bin110011111100000101…
…101001111100000000
312022221122010010012101
4303330011221330000
51403203322322410
641341522040144
74013002145350
oct637405517400
9168848103171
1055768948480
1121719132473
12a984aa9054
135349ccb9cb
1429b0996b60
1516b608cd3a
hexcfc169f00

55768948480 has 72 divisors (see below), whose sum is σ = 152667520992. Its totient is φ = 19120779264.

The previous prime is 55768948471. The next prime is 55768948567. The reversal of 55768948480 is 8484986755.

It is a happy number.

It is a super-2 number, since 2×557689484802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3103147 + ... + 3121066.

It is an arithmetic number, because the mean of its divisors is an integer number (2120382236).

Almost surely, 255768948480 is an apocalyptic number.

It is an amenable number.

55768948480 is an abundant number, since it is smaller than the sum of its proper divisors (96898572512).

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

55768948480 is an equidigital number, since it uses as much as digits as its factorization.

55768948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224241 (or 6224227 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 55768948480 in words is "fifty-five billion, seven hundred sixty-eight million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 6224213 12448426 24896852 31121065 43569491 49793704 62242130 87138982 99587408 124484260 174277964 199174816 217847455 248968520 348555928 398349632 435694910 497937040 697111856 796699264 871389820 995874080 1394223712 1593398528 1742779640 1991748160 2788447424 3485559280 3983496320 5576894848 6971118560 7966992640 11153789696 13942237120 27884474240 55768948480