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2353114113532 = 22713232331206307
BaseRepresentation
bin100010001111100000100…
…001111110010111111100
322022221210120100102000021
4202033200201332113330
5302023134203113112
65001001121541524
7332002234642360
oct42174041762774
98287716312007
102353114113532
11827a4a631786
123200711a48a4
13140b8935ca10
1481c69b512a0
1541323616907
hex223e087e5fc

2353114113532 has 96 divisors (see below), whose sum is σ = 5311306570752. Its totient is φ = 886605958656.

The previous prime is 2353114113517. The next prime is 2353114113563.

2353114113532 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347523 + ... + 2553829.

It is an arithmetic number, because the mean of its divisors is an integer number (55326110112).

Almost surely, 22353114113532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353114113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655653285376).

2353114113532 is an abundant number, since it is smaller than the sum of its proper divisors (2958192457220).

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

2353114113532 is a wasteful number, since it uses less digits than its factorization.

2353114113532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206587 (or 1206585 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The spelling of 2353114113532 in words is "two trillion, three hundred fifty-three billion, one hundred fourteen million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 233 299 322 364 466 598 644 932 1196 1631 2093 3029 3262 4186 5359 6058 6524 8372 10718 12116 21203 21436 37513 42406 69667 75026 84812 139334 150052 278668 487669 975338 1206307 1950676 2412614 4825228 8444149 15681991 16888298 27745061 31363982 33776596 55490122 62727964 109773937 110980244 194215427 219547874 281069531 360685793 388430854 439095748 562139062 721371586 776861708 1124278124 1442743172 1967486717 2524800551 3653903903 3934973434 5049601102 6464599213 7307807806 7869946868 10099202204 12929198426 14615615612 25577327321 25858396852 45252194491 51154654642 84039789769 90504388982 102309309284 168079579538 181008777964 336159159076 588278528383 1176557056766 2353114113532