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128149146808804 = 22112372139072
BaseRepresentation
bin11101001000110100001100…
…010111111011000111100100
3121210201221100101012100101101
4131020310030113323013210
5113244043423040340204
61132314523314405444
735664320215152652
oct3510641427730744
9553657311170341
10128149146808804
1137917825594400
12124581b5b90884
1356675498b5604
142390647a49dd2
15ec36c0317ea4
hex748d0c5fb1e4

128149146808804 has 81 divisors (see below), whose sum is σ = 253362255929769. Its totient is φ = 56671223035680.

The previous prime is 128149146808751. The next prime is 128149146808867. The reversal of 128149146808804 is 408808641941821.

The square root of 128149146808804 is 11320298.

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

It can be written as a sum of positive squares in only one way, i.e., 114669616392100 + 13479530416704 = 10708390^2 + 3671448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9214715619 + ... + 9214729525.

Almost surely, 2128149146808804 is an apocalyptic number.

128149146808804 is the 11320298-th square number.

It is an amenable number.

128149146808804 is a deficient number, since it is larger than the sum of its proper divisors (125213109120965).

128149146808804 is an frugal number, since it uses more digits than its factorization.

128149146808804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27914 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 64.

The spelling of 128149146808804 in words is "one hundred twenty-eight trillion, one hundred forty-nine billion, one hundred forty-six million, eight hundred eight thousand, eight hundred four".

Divisors: 1 2 4 11 22 37 44 74 121 148 242 407 484 814 1369 1628 2738 4477 5476 8954 13907 15059 17908 27814 30118 55628 60236 152977 165649 305954 331298 514559 611908 662596 1029118 1682747 2058236 3365494 5660149 6730988 11320298 19038683 22640596 38077366 62261639 76154732 124523278 193404649 209425513 249046556 386809298 418851026 773618596 837702052 2127451139 2303680643 4254902278 4607361286 7155972013 8509804556 9214722572 14311944026 23401962529 28623888052 46803925058 78715692143 93607850116 157431384286 264770964481 314862768572 529541928962 865872613573 1059083857924 1731745227146 2912480609291 3463490454292 5824961218582 11649922437164 32037286702201 64074573404402 128149146808804