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122147454016 = 2672794
BaseRepresentation
bin111000111000010001…
…1100011110001000000
3102200021122222120121101
41301300203203301000
54000124222012031
6132040323504144
711552633141200
oct1616043436100
9380248876541
10122147454016
1147891065105
121b80ab28054
13b69807b813
145caa626400
15329d793361
hex1c708e3c40

122147454016 has 105 divisors (see below), whose sum is σ = 285574503399. Its totient is φ = 51686264448.

The previous prime is 122147453999. The next prime is 122147454061. The reversal of 122147454016 is 610454741221.

The square root of 122147454016 is 349496.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1546170265 + ... + 1546170343.

Almost surely, 2122147454016 is an apocalyptic number.

122147454016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122147454016 is the 349496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122147454016

122147454016 is an abundant number, since it is smaller than the sum of its proper divisors (163427049383).

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

122147454016 is an frugal number, since it uses more digits than its factorization.

122147454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 122147454016 in words is "one hundred twenty-two billion, one hundred forty-seven million, four hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 79 98 112 158 196 224 316 392 448 553 632 784 1106 1264 1568 2212 2528 3136 3871 4424 5056 6241 7742 8848 12482 15484 17696 24964 30968 35392 43687 49928 61936 87374 99856 123872 174748 199712 247744 305809 349496 399424 493039 611618 698992 986078 1223236 1397984 1972156 2446472 2795968 3451273 3944312 4892944 6902546 7888624 9785888 13805092 15777248 19571776 24158911 27610184 31554496 38950081 48317822 55220368 77900162 96635644 110440736 155800324 193271288 220881472 272650567 311600648 386542576 545301134 623201296 773085152 1090602268 1246402592 1546170304 1908553969 2181204536 2492805184 3817107938 4362409072 7634215876 8724818144 15268431752 17449636288 30536863504 61073727008 122147454016