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71491990068 = 22333146212
BaseRepresentation
bin100001010010101000…
…0010011001000110100
320211112101210101111000
41002211100103020310
52132403422140233
652502025243300
75110431613632
oct1024520231064
9224471711430
1071491990068
1128357401314
1211a32633530
136984593b05
143662c32352
151cd65c6d13
hex10a5413234

71491990068 has 72 divisors (see below), whose sum is σ = 191370036480. Its totient is φ = 23056941600.

The previous prime is 71491990007. The next prime is 71491990117. The reversal of 71491990068 is 86009919417.

71491990068 is a `hidden beast` number, since 7 + 1 + 491 + 9 + 90 + 0 + 68 = 666.

It is a super-2 number, since 2×714919900682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71491989996 and 71491990023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15468798 + ... + 15473418.

Almost surely, 271491990068 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 71491990068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95685018240).

71491990068 is an abundant number, since it is smaller than the sum of its proper divisors (119878046412).

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

71491990068 is an equidigital number, since it uses as much as digits as its factorization.

71491990068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 71491990068 in words is "seventy-one billion, four hundred ninety-one million, nine hundred ninety thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4621 9242 13863 18484 27726 41589 55452 83178 124767 143251 166356 249534 286502 429753 499068 573004 859506 1289259 1719012 2578518 3867777 5157036 7735554 15471108 21353641 42707282 64060923 85414564 128121846 192182769 256243692 384365538 576548307 661962871 768731076 1153096614 1323925742 1985888613 2306193228 2647851484 3971777226 5957665839 7943554452 11915331678 17872997517 23830663356 35745995034 71491990068