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192799149921 = 32742921032
BaseRepresentation
bin1011001110001110111…
…0011000111101100001
3200102122111121121012100
42303203232120331201
511124323040244141
6224323134521013
716633512510000
oct2634356307541
9612574547170
10192799149921
1174847103a34
1231448066169
1315247522041
14948da00c37
1550361d40b6
hex2ce3b98f61

192799149921 has 135 divisors (see below), whose sum is σ = 339770540499. Its totient is φ = 105339207456.

The previous prime is 192799149913. The next prime is 192799149943. The reversal of 192799149921 is 129941997291.

The square root of 192799149921 is 439089.

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

192799149921 is a `hidden beast` number, since 19 + 27 + 9 + 91 + 499 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101099197521 + 91699952400 = 317961^2 + 302820^2 .

It is not a de Polignac number, because 192799149921 - 23 = 192799149913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (192799149911) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1871836356 + ... + 1871836458.

Almost surely, 2192799149921 is an apocalyptic number.

192799149921 is the 439089-th square number.

192799149921 is the 219545-th centered octagonal number.

It is an amenable number.

192799149921 is a deficient number, since it is larger than the sum of its proper divisors (146971390578).

192799149921 is an frugal number, since it uses more digits than its factorization.

192799149921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 142 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 63.

The spelling of 192799149921 in words is "one hundred ninety-two billion, seven hundred ninety-nine million, one hundred forty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 29 49 63 87 103 147 203 261 309 343 441 609 721 841 927 1029 1421 1827 2163 2401 2523 2987 3087 4263 5047 5887 6489 7203 7569 8961 9947 10609 12789 15141 17661 20909 21609 26883 29841 31827 35329 41209 45423 52983 62727 69629 74263 86623 89523 95481 105987 123627 146363 188181 208887 222789 247303 259869 288463 307661 317961 370881 439089 519841 606361 626661 668367 741909 779607 865389 922983 1024541 1317267 1559523 1819083 2019241 2153627 2225727 2596167 2768949 3073623 3638887 4244527 4678569 5457249 6057723 6460881 7171787 8922169 9220869 10916661 12733581 15075389 18173169 19382643 21515361 25472209 26766507 29711689 32749983 38200743 45226167 62455183 64546083 76416627 80299521 89135067 105527723 135678501 187365549 207981823 229249881 267405201 316583169 437186281 562096647 623945469 738694061 949749507 1311558843 1871836407 2216082183 3060303967 3934676529 6648246549 9180911901 21422127769 27542735703 64266383307 192799149921