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870242483200 = 2105246377331
BaseRepresentation
bin11001010100111100111…
…11100111110000000000
310002012020200202121021111
430222132133213300000
5103224224033430300
61503441152333104
7116605264025536
oct14523637476000
93065220677244
10870242483200
11306082216002
121207aa544194
13640a97041bc
143019725c156
1517984d4e9ba
hexca9e7e7c00

870242483200 has 132 divisors (see below), whose sum is σ = 2157907065912. Its totient is φ = 347974451200.

The previous prime is 870242483189. The next prime is 870242483233. The reversal of 870242483200 is 2384242078.

It is a happy number.

870242483200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8702424832002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118703535 + ... + 118710865.

Almost surely, 2870242483200 is an apocalyptic number.

870242483200 is a gapful number since it is divisible by the number (80) 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 870242483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078953532956).

870242483200 is an abundant number, since it is smaller than the sum of its proper divisors (1287664582712).

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

870242483200 is a wasteful number, since it uses less digits than its factorization.

870242483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11975 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 870242483200 in words is "eight hundred seventy billion, two hundred forty-two million, four hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 4637 5120 6400 7331 9274 12800 14662 18548 23185 25600 29324 36655 37096 46370 58648 73310 74192 92740 115925 117296 146620 148384 183275 185480 231850 234592 293240 296768 366550 370960 463700 469184 586480 593536 733100 741920 927400 938368 1172960 1187072 1466200 1483840 1854800 1876736 2345920 2374144 2932400 2967680 3709600 3753472 4691840 4748288 5864800 5935360 7419200 7506944 9383680 11729600 11870720 14838400 18767360 23459200 23741440 29676800 33993847 37534720 46918400 59353600 67987694 93836800 118707200 135975388 169969235 187673600 271950776 339938470 543901552 679876940 849846175 1087803104 1359753880 1699692350 2175606208 2719507760 3399384700 4351212416 5439015520 6798769400 8702424832 10878031040 13597538800 17404849664 21756062080 27195077600 34809699328 43512124160 54390155200 87024248320 108780310400 174048496640 217560620800 435121241600 870242483200