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197590918144 = 2102924792
BaseRepresentation
bin1011100000000101010…
…1100010010000000000
3200220000110011122110111
42320001111202100000
511214131233340034
6230434431041104
720163326043514
oct2700125422000
9626013148414
10197590918144
1176885a16364
1232364970194
131582c1a3859
1497c617a144
155216c07364
hex2e01562400

197590918144 has 99 divisors (see below), whose sum is σ = 409934657977. Its totient is φ = 95189577728.

The previous prime is 197590918123. The next prime is 197590918159. The reversal of 197590918144 is 441819095791.

The square root of 197590918144 is 444512.

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., 103611884544 + 93979033600 = 321888^2 + 306560^2 .

It is a super-4 number, since 4×1975909181444 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 412506897 + ... + 412507375.

Almost surely, 2197590918144 is an apocalyptic number.

197590918144 is the 444512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197590918144

197590918144 is an abundant number, since it is smaller than the sum of its proper divisors (212343739833).

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

197590918144 is an frugal number, since it uses more digits than its factorization.

197590918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 58.

The spelling of 197590918144 in words is "one hundred ninety-seven billion, five hundred ninety million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 479 512 841 928 958 1024 1682 1856 1916 3364 3712 3832 6728 7424 7664 13456 13891 14848 15328 26912 27782 29696 30656 53824 55564 61312 107648 111128 122624 215296 222256 229441 245248 402839 430592 444512 458882 490496 805678 861184 889024 917764 1611356 1778048 1835528 3222712 3556096 3671056 6445424 6653789 7112192 7342112 12890848 13307578 14224384 14684224 25781696 26615156 29368448 51563392 53230312 58736896 103126784 106460624 117473792 192959881 206253568 212921248 234947584 385919762 412507136 425842496 771839524 851684992 1543679048 1703369984 3087358096 3406739968 6174716192 6813479936 12349432384 24698864768 49397729536 98795459072 197590918144