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6966397492002 = 2331331829386149
BaseRepresentation
bin110010101011111110110…
…1001011101101100100010
3220122222111012220201002000
41211113331221131230202
51403114140224221002
622452152511104430
71316206552442454
oct145277551355442
926588435821060
106966397492002
112246483852783
12946174512116
133b6c0bab59c0
141a12655882d4
15c132a6ba61c
hex655fda5db22

6966397492002 has 128 divisors (see below), whose sum is σ = 17230321920000. Its totient is φ = 2071853925120.

The previous prime is 6966397491973. The next prime is 6966397492003. The reversal of 6966397492002 is 2002947936696.

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

It is not an unprimeable number, because it can be changed into a prime (6966397492003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17847624 + ... + 18233772.

It is an arithmetic number, because the mean of its divisors is an integer number (134611890000).

Almost surely, 26966397492002 is an apocalyptic number.

6966397492002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966397492002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615160960000).

6966397492002 is an abundant number, since it is smaller than the sum of its proper divisors (10263924427998).

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

6966397492002 is a wasteful number, since it uses less digits than its factorization.

6966397492002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387033 (or 387027 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 6966397492002 in words is "six trillion, nine hundred sixty-six billion, three hundred ninety-seven million, four hundred ninety-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 829 837 1209 1658 1674 2418 2487 3627 4974 7254 7461 10777 10881 14922 21554 21762 22383 25699 32331 44766 51398 64662 77097 96993 154194 193986 231291 290979 334087 386149 462582 581958 668174 693873 772298 1002261 1158447 1387746 2004522 2316894 3006783 3475341 5019937 6013566 6950682 9020349 10039874 10426023 11970619 15059811 18040698 20852046 23941238 30119622 35911857 45179433 71823714 90358866 107735571 135538299 155618047 215471142 271076598 311236094 320117521 323206713 466854141 640235042 646413426 933708282 960352563 1400562423 1920705126 2801124846 2881057689 4161527773 4201687269 5762115378 8323055546 8403374538 8643173067 9923643151 12484583319 17286346134 19847286302 24969166638 29770929453 37453749957 59541858906 74907499914 89312788359 112361249871 129007360963 178625576718 224722499742 258014721926 267938365077 387022082889 535876730154 774044165778 1161066248667 2322132497334 3483198746001 6966397492002