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690480819972 = 2232192471130431
BaseRepresentation
bin10100000110000111101…
…11010010111100000100
32110000020210110221121200
422003003313102330010
542303101042214342
61245111424142500
7100612521063036
oct12030367227404
92400223427550
10690480819972
11246916470869
12b19a0767a30
135015c27a738
14255c2d83c56
1512e6352494c
hexa0c3dd2f04

690480819972 has 108 divisors (see below), whose sum is σ = 1881273977856. Its totient is φ = 213407097120.

The previous prime is 690480819961. The next prime is 690480819983. The reversal of 690480819972 is 279918084096.

690480819972 is a `hidden beast` number, since 6 + 9 + 0 + 480 + 81 + 9 + 9 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (690480819961) and next prime (690480819983).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45597 + ... + 1176027.

Almost surely, 2690480819972 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 690480819972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940636988928).

690480819972 is an abundant number, since it is smaller than the sum of its proper divisors (1190793157884).

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

690480819972 is a wasteful number, since it uses less digits than its factorization.

690480819972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130526 (or 1130502 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 690480819972 in words is "six hundred ninety billion, four hundred eighty million, eight hundred nineteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 361 423 564 684 722 846 893 1083 1444 1692 1786 2166 2679 3249 3572 4332 5358 6498 8037 10716 12996 16074 16967 32148 33934 50901 67868 101802 152703 203604 305406 610812 1130431 2260862 3391293 4521724 6782586 10173879 13565172 20347758 21478189 40695516 42956378 53130257 64434567 85912756 106260514 128869134 159390771 193303701 212521028 257738268 318781542 386607402 408085591 478172313 637563084 773214804 816171182 956344626 1009474883 1224256773 1632342364 1912689252 2018949766 2448513546 3028424649 3672770319 4037899532 4897027092 6056849298 7345540638 9085273947 12113698596 14691081276 18170547894 19180022777 36341095788 38360045554 57540068331 76720091108 115080136662 172620204993 230160273324 345240409986 690480819972