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253430202034352 = 2475531754154251
BaseRepresentation
bin111001100111111001010001…
…001010101110100010110000
31020020022200122112002021120002
4321213321101022232202300
5231204200023210044402
62255000121053005132
7104244504442202240
oct7147712112564260
91206280575067502
10253430202034352
1173829166155982
1224510579a837a8
13ab5449a032415
1446821314c3b20
151e4747b572602
hexe67e512ae8b0

253430202034352 has 80 divisors (see below), whose sum is σ = 561353110458624. Its totient is φ = 108576904800000.

The previous prime is 253430202034313. The next prime is 253430202034363.

253430202034352 is nontrivially palindromic in base 10.

253430202034352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671411227 + ... + 4671465477.

Almost surely, 2253430202034352 is an apocalyptic number.

It is an amenable number.

253430202034352 is an abundant number, since it is smaller than the sum of its proper divisors (307922908424272).

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

253430202034352 is a wasteful number, since it uses less digits than its factorization.

253430202034352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67338 (or 67332 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 25343020 and 2034352, that added together give a palindrome (27377372).

The spelling of 253430202034352 in words is "two hundred fifty-three trillion, four hundred thirty billion, two hundred two million, thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 5531 7541 11062 15082 22124 30164 38717 44248 52787 54251 60328 77434 88496 105574 108502 120656 154868 211148 217004 309736 379757 422296 434008 619472 759514 844592 868016 1519028 3038056 6076112 41709271 83418542 166837084 291964897 300062281 333674168 409106791 583929794 600124562 667348336 818213582 1167859588 1200249124 1636427164 2100435967 2335719176 2400498248 2863747537 3272854328 4200871934 4671438352 4800996496 5727495074 6545708656 8401743868 11454990148 16803487736 22909980296 33606975472 45819960592 2262769661021 4525539322042 9051078644084 15839387627147 18102157288168 31678775254294 36204314576336 63357550508588 126715101017176 253430202034352