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2532085257984 = 2834180414293
BaseRepresentation
bin100100110110001100000…
…010101101011100000000
322222001202101010112202220
4210312030002231130000
5312441202311223414
65215120210411040
7350636301400542
oct44661402553400
98861671115686
102532085257984
11896940131517
1234a89a290a80
13154a0baa2ca9
148a7a704b692
1545cea83dca9
hex24d8c0ad700

2532085257984 has 72 divisors (see below), whose sum is σ = 6903406311312. Its totient is φ = 823442350080.

The previous prime is 2532085257979. The next prime is 2532085258009. The reversal of 2532085257984 is 4897525802352.

It is a super-2 number, since 2×25320852579842 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40175659 + ... + 40238634.

Almost surely, 22532085257984 is an apocalyptic number.

2532085257984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2532085257984 is an abundant number, since it is smaller than the sum of its proper divisors (4371321053328).

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

2532085257984 is an equidigital number, since it uses as much as digits as its factorization.

2532085257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80414353 (or 80414339 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 2532085257984 in words is "two trillion, five hundred thirty-two billion, eighty-five million, two hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 80414293 160828586 241242879 321657172 482485758 643314344 964971516 1286628688 1929943032 2573257376 3296986013 3859886064 5146514752 6593972026 7719772128 9890958039 10293029504 13187944052 15439544256 19781916078 20586059008 26375888104 30879088512 39563832156 52751776208 61758177024 79127664312 105503552416 158255328624 211007104832 316510657248 422014209664 633021314496 844028419328 1266042628992 2532085257984