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2264555660264 = 2329531499531297
BaseRepresentation
bin100000111101000010000…
…010010010001111101000
322000111012202222212020122
4200331002002102033220
5244100302222112024
64452153354542412
7322415541341102
oct40750202221750
98014182885218
102264555660264
117a34356a7027
12306a77137a08
131357150a4a91
147b86849c572
153dd8dad9d5e
hex20f420923e8

2264555660264 has 128 divisors (see below), whose sum is σ = 4513574340000. Its totient is φ = 1063469481984.

The previous prime is 2264555660261. The next prime is 2264555660267. The reversal of 2264555660264 is 4620665554622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2264555660261) and next prime (2264555660267).

It can be written as a sum of positive squares in 16 ways, for example, as 773573020900 + 1490982639364 = 879530^2 + 1221058^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is not an unprimeable number, because it can be changed into a prime (2264555660261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745994464 + ... + 1745995760.

Almost surely, 22264555660264 is an apocalyptic number.

It is an amenable number.

2264555660264 is a deficient number, since it is larger than the sum of its proper divisors (2249018679736).

2264555660264 is a wasteful number, since it uses less digits than its factorization.

2264555660264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 53.

The spelling of 2264555660264 in words is "two trillion, two hundred sixty-four billion, five hundred fifty-five million, six hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 29 53 58 106 116 149 212 232 298 424 596 953 1192 1297 1537 1906 2594 3074 3812 4321 5188 6148 7624 7897 8642 10376 12296 15794 17284 27637 31588 34568 37613 50509 55274 63176 68741 75226 101018 110548 137482 141997 150452 193253 202036 221096 229013 274964 283994 300904 386506 404072 458026 549928 567988 773012 916052 1135976 1236041 1464761 1546024 1832104 1993489 2472082 2929522 3986978 4117913 4944164 5604337 5859044 7525841 7973956 8235826 9888328 10242409 11208674 11718088 15051682 15947912 16471652 20484818 22417348 30103364 32943304 35845189 40969636 44834696 60206728 65510173 71690378 81939272 131020346 143380756 184170109 218249389 262040692 286761512 297029861 368340218 436498778 524081384 594059722 736680436 872997556 1188119444 1473360872 1745995112 1899795017 2376238888 3799590034 5340933161 7599180068 9761015777 10681866322 15198360136 19522031554 21363732644 39044063108 42727465288 78088126216 283069457533 566138915066 1132277830132 2264555660264