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161006607366732 = 2232311124911151287
BaseRepresentation
bin100100100110111101000101…
…101000110111101001001100
3210010002002012022001110221100
4210212331011220313221030
5132100413012441213412
61330233225254303100
745625225552545621
oct4446750550675114
9703062168043840
10161006607366732
1147335578474636
12160841ab057a90
136babb1cb3370a
142ba8a93304348
151393240be6edc
hex926f45a37a4c

161006607366732 has 72 divisors (see below), whose sum is σ = 408330612248832. Its totient is φ = 53491971160800.

The previous prime is 161006607366679. The next prime is 161006607366733. The reversal of 161006607366732 is 237663706600161.

It is a happy number.

161006607366732 is a `hidden beast` number, since 16 + 10 + 0 + 6 + 607 + 3 + 6 + 6 + 7 + 3 + 2 = 666.

161006607366732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1610066073667322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161006607366733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139273593 + ... + 140424879.

It is an arithmetic number, because the mean of its divisors is an integer number (5671258503456).

Almost surely, 2161006607366732 is an apocalyptic number.

161006607366732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161006607366732 is an abundant number, since it is smaller than the sum of its proper divisors (247324004882100).

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

161006607366732 is a wasteful number, since it uses less digits than its factorization.

161006607366732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164099 (or 1164094 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 161006607366732 in words is "one hundred sixty-one trillion, six billion, six hundred seven million, three hundred sixty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 11196 12491 24982 37473 49964 74946 112419 149892 224838 449676 1151287 2302574 3453861 3884701 4605148 6907722 7769402 10361583 11654103 13815444 15538804 20723166 23308206 34962309 41446332 46616412 69924618 139849236 358050257 716100514 1074150771 1432201028 2148301542 3222452313 4296603084 6444904626 12889809252 14380725917 28761451834 43142177751 57522903668 86284355502 129426533253 172568711004 258853066506 517706133012 4472405760187 8944811520374 13417217280561 17889623040748 26834434561122 40251651841683 53668869122244 80503303683366 161006607366732