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642962197818 = 233172344416857
BaseRepresentation
bin10010101101100111000…
…10001000110100111010
32021110121010210211111000
421112303202020310322
541013241310312233
61211212303145430
764311126336033
oct11266342106472
92243533724430
10642962197818
11228751442706
12a473a8a5276
1348828619c35
1423196017a8a
1511ad192cd13
hex95b3888d3a

642962197818 has 128 divisors (see below), whose sum is σ = 1579214154240. Its totient is φ = 192871895040.

The previous prime is 642962197781. The next prime is 642962197837. The reversal of 642962197818 is 818791269246.

642962197818 is a `hidden beast` number, since 6 + 429 + 6 + 2 + 197 + 8 + 18 = 666.

It is a super-2 number, since 2×6429621978182 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93763846 + ... + 93770702.

It is an arithmetic number, because the mean of its divisors is an integer number (12337610580).

Almost surely, 2642962197818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642962197818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789607077120).

642962197818 is an abundant number, since it is smaller than the sum of its proper divisors (936251956422).

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

642962197818 is a wasteful number, since it uses less digits than its factorization.

642962197818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349 (or 11343 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 642962197818 in words is "six hundred forty-two billion, nine hundred sixty-two million, one hundred ninety-seven thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 4441 6857 7038 8882 10557 13323 13714 20571 21114 26646 39969 41142 61713 75497 79938 102143 116569 119907 123426 150994 157711 185139 204286 226491 233138 239814 306429 315422 349707 370278 452982 473133 612858 679473 699414 919287 946266 1049121 1358946 1419399 1736431 1838574 2038419 2098242 2681087 2757861 2838798 3147363 3472862 4076838 4258197 5209293 5362174 5515722 6294726 8043261 8516394 10418586 15627879 16086522 24129783 30451937 31255758 46883637 48259566 60903874 72389349 91355811 93767274 144778698 182711622 274067433 517682929 548134866 700394551 822202299 1035365858 1400789102 1553048787 1644404598 2101183653 3106097574 4202367306 4659146361 6303550959 9318292722 11906707367 12607101918 13977439083 18910652877 23813414734 27954878166 35720122101 37821305754 71440244202 107160366303 214320732606 321481098909 642962197818