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2275860298816 = 261341111759729
BaseRepresentation
bin100001000111100011110…
…110000011110001000000
322001120101121200000000101
4201013203312003301000
5244241430214030231
64501303224332144
7323265640233016
oct41074366036100
98046347600011
102275860298816
117a8206897315
123090b1014054
131367c7162610
147c21b9cc8b6
153e3012a2661
hex211e3d83c40

2275860298816 has 112 divisors (see below), whose sum is σ = 4986724382640. Its totient is φ = 1023843041280.

The previous prime is 2275860298813. The next prime is 2275860298843. The reversal of 2275860298816 is 6188920685722.

It can be written as a sum of positive squares in 8 ways, for example, as 1155023078400 + 1120837220416 = 1074720^2 + 1058696^2 .

It is a super-2 number, since 2×22758602988162 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2275860298813) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38073240 + ... + 38132968.

It is an arithmetic number, because the mean of its divisors is an integer number (44524324845).

Almost surely, 22275860298816 is an apocalyptic number.

2275860298816 is a gapful number since it is divisible by the number (26) 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 2275860298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493362191320).

2275860298816 is an abundant number, since it is smaller than the sum of its proper divisors (2710864083824).

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

2275860298816 is a wasteful number, since it uses less digits than its factorization.

2275860298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60912 (or 60902 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 2275860298816 in words is "two trillion, two hundred seventy-five billion, eight hundred sixty million, two hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 416 533 656 832 1066 1117 1312 2132 2234 2624 4264 4468 8528 8936 14521 17056 17872 29042 34112 35744 45797 58084 59729 71488 91594 116168 119458 183188 232336 238916 366376 464672 477832 595361 732752 776477 929344 955664 1190722 1465504 1552954 1911328 2381444 2448889 2931008 3105908 3822656 4762888 4897778 6211816 9525776 9795556 12423632 19051552 19591112 24847264 31835557 38103104 39182224 49694528 63671114 66717293 78364448 127342228 133434586 156728896 254684456 266869172 509368912 533738344 867324809 1018737824 1067476688 1734649618 2037475648 2134953376 2735409013 3469299236 4269906752 5470818026 6938598472 10941636052 13877196944 21883272104 27754393888 35560317169 43766544208 55508787776 71120634338 87533088416 142241268676 175066176832 284482537352 568965074704 1137930149408 2275860298816