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2025720220032 = 27333715841781
BaseRepresentation
bin11101011110100110010…
…101011000100110000000
321011122201220222101221000
4131132212111120212000
5231142133334020112
64150334130332000
7266232143524215
oct35364625304600
97148656871830
102025720220032
11711115287883
1228872172a000
13119042069592
147008c755b0c
1537a610187dc
hex1d7a6558980

2025720220032 has 128 divisors (see below), whose sum is σ = 6140274703200. Its totient is φ = 656990300160.

The previous prime is 2025720220021. The next prime is 2025720220039. The reversal of 2025720220032 is 2300220275202.

2025720220032 is a `hidden beast` number, since 2 + 0 + 257 + 202 + 200 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2025720219978 and 2025720220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025720220039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7793019 + ... + 8048762.

Almost surely, 22025720220032 is an apocalyptic number.

It is an amenable number.

2025720220032 is an abundant number, since it is smaller than the sum of its proper divisors (4114554483168).

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

2025720220032 is a wasteful number, since it uses less digits than its factorization.

2025720220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15841841 (or 15841823 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 2025720220032 its reverse (2300220275202), we get a palindrome (4325940495234).

The spelling of 2025720220032 in words is "two trillion, twenty-five billion, seven hundred twenty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 127872 15841781 31683562 47525343 63367124 95050686 126734248 142576029 190101372 253468496 285152058 380202744 427728087 506936992 570304116 586145897 760405488 855456174 1013873984 1140608232 1172291794 1520810976 1710912348 1758437691 2027747968 2281216464 2344583588 3041621952 3421824696 3516875382 4562432928 4689167176 5275313073 6083243904 6843649392 7033750764 9124865856 9378334352 10550626146 13687298784 14067501528 15825939219 18249731712 18756668704 21101252292 27374597568 28135003056 31651878438 37513337408 42202504584 54749195136 56270006112 63303756876 75026674816 84405009168 112540012224 126607513752 168810018336 225080024448 253215027504 337620036672 506430055008 675240073344 1012860110016 2025720220032