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31492082268976 = 24729411671416071
BaseRepresentation
bin1110010100100010100100…
…11000000111101100110000
311010111121120100201111010111
413022101102120013230300
513111431241030101401
6150551132440311104
76430141104410650
oct712212230075460
9133447510644114
1031492082268976
11a04179849798a
123647462772494
1314758c93887c4
147ac321246360
153992abec8e51
hex1ca452607b30

31492082268976 has 160 divisors (see below), whose sum is σ = 74339021998080. Its totient is φ = 12637235251200.

The previous prime is 31492082268943. The next prime is 31492082268989. The reversal of 31492082268976 is 67986228029413.

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 31 ways as a sum of consecutive naturals, for example, 21531021 + ... + 22947091.

It is an arithmetic number, because the mean of its divisors is an integer number (464618887488).

Almost surely, 231492082268976 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 31492082268976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169510999040).

31492082268976 is an abundant number, since it is smaller than the sum of its proper divisors (42846939729104).

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

31492082268976 is a wasteful number, since it uses less digits than its factorization.

31492082268976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416323 (or 1416317 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 31492082268976 in words is "thirty-one trillion, four hundred ninety-two billion, eighty-two million, two hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 167 203 232 287 328 334 406 464 574 656 668 812 1148 1169 1189 1336 1624 2296 2338 2378 2672 3248 4592 4676 4756 4843 6847 8323 9352 9512 9686 13694 16646 18704 19024 19372 27388 33292 33901 38744 47929 54776 66584 67802 77488 95858 109552 133168 135604 191716 198563 271208 383432 397126 542416 766864 794252 1389941 1416071 1588504 2779882 2832142 3177008 5559764 5664284 9912497 11119528 11328568 19824994 22239056 22657136 39649988 41066059 58058911 79299976 82132118 116117822 158599952 164264236 232235644 236483857 287462413 328528472 406412377 464471288 472967714 574924826 657056944 812824754 928942576 945935428 1149849652 1625649508 1655386999 1683708419 1891870856 2299699304 3251299016 3310773998 3367416838 3783741712 4599398608 6502598032 6621547996 6734833676 6858031853 9695838137 11785958933 13243095992 13469667352 13716063706 19391676274 23571917866 26486191984 26939334704 27432127412 38783352548 47143835732 48006222971 54864254824 67870866959 77566705096 94287671464 96012445942 109728509648 135741733918 155133410192 188575342928 192024891884 271483467836 281179305973 384049783768 542966935672 562358611946 768099567536 1085933871344 1124717223892 1968255141811 2249434447784 3936510283622 4498868895568 7873020567244 15746041134488 31492082268976