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31460680746 = 2351121912801
BaseRepresentation
bin11101010011001100…
…111110010000101010
310000012112211011200000
4131103030332100222
51003412413240441
622241451323430
72162424242205
oct352314762052
9100175734600
1031460680746
1112384809100
126120150576
132c74b9b631
14174643493c
15c41ea82b6
hex75333e42a

31460680746 has 144 divisors (see below), whose sum is σ = 78134644224. Its totient is φ = 9480240000.

The previous prime is 31460680723. The next prime is 31460680759. The reversal of 31460680746 is 64708606413.

It is a happy number.

31460680746 is a `hidden beast` number, since 31 + 4 + 606 + 8 + 0 + 7 + 4 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11230546 + ... + 11233346.

It is an arithmetic number, because the mean of its divisors is an integer number (542601696).

Almost surely, 231460680746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31460680746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39067322112).

31460680746 is an abundant number, since it is smaller than the sum of its proper divisors (46673963478).

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

31460680746 is a wasteful number, since it uses less digits than its factorization.

31460680746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 31460680746 in words is "thirty-one billion, four hundred sixty million, six hundred eighty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 191 198 242 243 297 363 382 486 573 594 726 891 1089 1146 1719 1782 2101 2178 2673 2801 3267 3438 4202 5157 5346 5602 6303 6534 8403 9801 10314 12606 15471 16806 18909 19602 23111 25209 29403 30811 30942 37818 46222 46413 50418 56727 58806 61622 69333 75627 92433 92826 113454 138666 151254 170181 184866 207999 226881 277299 338921 340362 415998 453762 510543 534991 554598 623997 677842 680643 831897 1016763 1021086 1069982 1247994 1361286 1604973 1663794 1871991 2033526 2495691 3050289 3209946 3743982 4814919 4991382 5615973 5884901 6100578 7487073 9150867 9629838 11231946 11769802 14444757 14974146 17654703 18301734 27452601 28889514 35309406 43334271 52964109 54905202 64733911 82357803 86668542 105928218 129467822 130002813 158892327 164715606 194201733 260005626 317784654 388403466 476676981 582605199 953353962 1165210398 1430030943 1747815597 2860061886 3495631194 5243446791 10486893582 15730340373 31460680746