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190207407744 = 2732732261789
BaseRepresentation
bin1011000100100100111…
…1101011011010000000
3200011221212210110022100
42301021033223122000
511104021044021434
6223214032510400
716512342201234
oct2611117533200
9604855713270
10190207407744
1173737139752
1230a440ab400
1314c235b09a3
1492c570c5c4
154e338d5699
hex2c493eb680

190207407744 has 96 divisors (see below), whose sum is σ = 554839704900. Its totient is φ = 62533914624.

The previous prime is 190207407619. The next prime is 190207407769. The reversal of 190207407744 is 447704702091.

190207407744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 177672366144 + 12535041600 = 421512^2 + 111960^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 190207407744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1046799 + ... + 1214990.

Almost surely, 2190207407744 is an apocalyptic number.

It is an amenable number.

190207407744 is an abundant number, since it is smaller than the sum of its proper divisors (364632297156).

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

190207407744 is a wasteful number, since it uses less digits than its factorization.

190207407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261882 (or 2261867 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 190207407744 in words is "one hundred ninety billion, two hundred seven million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 288 292 384 438 576 584 657 876 1152 1168 1314 1752 2336 2628 3504 4672 5256 7008 9344 10512 14016 21024 28032 42048 84096 2261789 4523578 6785367 9047156 13570734 18094312 20356101 27141468 36188624 40712202 54282936 72377248 81424404 108565872 144754496 162848808 165110597 217131744 289508992 325697616 330221194 434263488 495331791 651395232 660442388 868526976 990663582 1302790464 1320884776 1485995373 1981327164 2605580928 2641769552 2971990746 3962654328 5283539104 5943981492 7925308656 10567078208 11887962984 15850617312 21134156416 23775925968 31701234624 47551851936 63402469248 95103703872 190207407744