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97763582743974 = 234786211272261
BaseRepresentation
bin10110001110101001011011…
…100111110001010110100110
3110211011002220011200201010000
4112032221123213301112212
5100303224304140301344
6543531545255242130
726410120501131120
oct2616513347612646
9424132804621100
1097763582743974
1129172336849794
12ab6b2a2079346
1342720b285ab04
141a1dad5850210
15b480c6189a69
hex58ea5b9f15a6

97763582743974 has 40 divisors (see below), whose sum is σ = 250357534648848. Its totient is φ = 27932452212240.

The previous prime is 97763582743927. The next prime is 97763582743979. The reversal of 97763582743974 is 47934728536779.

97763582743974 is a `hidden beast` number, since 9 + 7 + 7 + 6 + 35 + 82 + 7 + 439 + 74 = 666.

It is a super-2 number, since 2×977635827439742 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 97763582743893 and 97763582743902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97763582743979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43105634997 + ... + 43105637264.

Almost surely, 297763582743974 is an apocalyptic number.

97763582743974 is an abundant number, since it is smaller than the sum of its proper divisors (152593951904874).

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

97763582743974 is a wasteful number, since it uses less digits than its factorization.

97763582743974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86211272282 (or 86211272273 counting only the distinct ones).

The product of its digits is 13442526720, while the sum is 81.

The spelling of 97763582743974 in words is "ninety-seven trillion, seven hundred sixty-three billion, five hundred eighty-two million, seven hundred forty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 86211272261 172422544522 258633816783 517267633566 603478905827 775901450349 1206957811654 1551802900698 1810436717481 2327704351047 3620873434962 4655408702094 5431310152443 6983113053141 10862620304886 13966226106282 16293930457329 32587860914658 48881791371987 97763582743974