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2271056485392 = 243279337592391
BaseRepresentation
bin100001000011000101100…
…000111101110000010000
322001002222211102222211200
4201003011200331300100
5244202110430013032
64455150422111200
7323035616421042
oct41030540756020
98032884388750
102271056485392
117a61711a8182
1230819027b500
1313620cb54376
147bcc39d9a92
153e11e6a047c
hex210c583dc10

2271056485392 has 120 divisors (see below), whose sum is σ = 6455366711040. Its totient is φ = 745217141760.

The previous prime is 2271056485363. The next prime is 2271056485403. The reversal of 2271056485392 is 2935846501722.

2271056485392 is a `hidden beast` number, since 2 + 2 + 7 + 10 + 56 + 48 + 539 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3537517 + ... + 4129907.

It is an arithmetic number, because the mean of its divisors is an integer number (53794722592).

It is a 1-persistent number, because it is pandigital, but 2⋅2271056485392 = 4542112970784 is not.

Almost surely, 22271056485392 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 2271056485392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227683355520).

2271056485392 is an abundant number, since it is smaller than the sum of its proper divisors (4184310225648).

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

2271056485392 is a wasteful number, since it uses less digits than its factorization.

2271056485392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592821 (or 592812 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2271056485392 in words is "two trillion, two hundred seventy-one billion, fifty-six million, four hundred eighty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 337 474 632 674 711 948 1011 1264 1348 1422 1896 2022 2696 2844 3033 3792 4044 5392 5688 6066 8088 11376 12132 16176 24264 26623 48528 53246 79869 106492 159738 212984 239607 319476 425968 479214 592391 638952 958428 1184782 1277904 1777173 1916856 2369564 3554346 3833712 4739128 5331519 7108692 9478256 10663038 14217384 21326076 28434768 42652152 46798889 85304304 93597778 140396667 187195556 199635767 280793334 374391112 399271534 421190001 561586668 598907301 748782224 798543068 842380002 1123173336 1197814602 1597086136 1684760004 1796721903 2246346672 2395629204 3194172272 3369520008 3593443806 4791258408 6739040016 7186887612 9582516816 14373775224 15771225593 28747550448 31542451186 47313676779 63084902372 94627353558 126169804744 141941030337 189254707116 252339609488 283882060674 378509414232 567764121348 757018828464 1135528242696 2271056485392