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2164472642720 = 255172927440069
BaseRepresentation
bin11111011111110100100…
…111110111110010100000
321122220212211010210100002
4133133310213313302200
5240430314444031340
64334202304315132
7312243435620663
oct37376447676240
97586784123302
102164472642720
11764a47419693
122ab5a5612aa8
1312915531963b
1476a923cb6da
153b482452715
hex1f7f49f7ca0

2164472642720 has 96 divisors (see below), whose sum is σ = 5601067088400. Its totient is φ = 786761629696.

The previous prime is 2164472642719. The next prime is 2164472642753. The reversal of 2164472642720 is 272462744612.

It can be written as a sum of positive squares in 8 ways, for example, as 1583359155856 + 581113486864 = 1258316^2 + 762308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13641155 + ... + 13798914.

Almost surely, 22164472642720 is an apocalyptic number.

2164472642720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164472642720 is an abundant number, since it is smaller than the sum of its proper divisors (3436594445680).

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

2164472642720 is a wasteful number, since it uses less digits than its factorization.

2164472642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27440130 (or 27440122 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 47.

The spelling of 2164472642720 in words is "two trillion, one hundred sixty-four billion, four hundred seventy-two million, six hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 928 986 1160 1360 1972 2320 2465 2720 3944 4640 4930 7888 9860 15776 19720 39440 78880 27440069 54880138 109760276 137200345 219520552 274400690 439041104 466481173 548801380 795762001 878082208 932962346 1097602760 1591524002 1865924692 2195205520 2332405865 3183048004 3731849384 3978810005 4390411040 4664811730 6366096008 7463698768 7957620010 9329623460 12732192016 13527954017 14927397536 15915240020 18659246920 25464384032 27055908034 31830480040 37318493840 54111816068 63660960080 67639770085 74636987680 108223632136 127321920160 135279540170 216447264272 270559080340 432894528544 541118160680 1082236321360 2164472642720