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172249769340 = 223251186994833
BaseRepresentation
bin1010000001101011100…
…0101110010101111100
3121110121101022220110200
42200122320232111330
510310231420104330
6211044102203500
715305336611305
oct2403270562574
9543541286420
10172249769340
1167061560180
1229472123590
1313321092b4c
1484a078b7ac
1547320e8a60
hex281ae2e57c

172249769340 has 72 divisors (see below), whose sum is σ = 569990152368. Its totient is φ = 41757519360.

The previous prime is 172249769339. The next prime is 172249769357. The reversal of 172249769340 is 43967942271.

172249769340 is a `hidden beast` number, since 1 + 7 + 22 + 497 + 6 + 93 + 40 = 666.

172249769340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43495437 + ... + 43499396.

It is an arithmetic number, because the mean of its divisors is an integer number (7916529894).

Almost surely, 2172249769340 is an apocalyptic number.

172249769340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172249769340 is an abundant number, since it is smaller than the sum of its proper divisors (397740383028).

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

172249769340 is a wasteful number, since it uses less digits than its factorization.

172249769340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86994859 (or 86994854 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 172249769340 in words is "one hundred seventy-two billion, two hundred forty-nine million, seven hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 86994833 173989666 260984499 347979332 434974165 521968998 782953497 869948330 956943163 1043937996 1304922495 1565906994 1739896660 1913886326 2609844990 2870829489 3131813988 3827772652 3914767485 4784715815 5219689980 5741658978 7829534970 8612488467 9569431630 11483317956 14354147445 15659069940 17224976934 19138863260 28708294890 34449953868 43062442335 57416589780 86124884670 172249769340