Search a number
-
+
2355345201132 = 22327116113929371
BaseRepresentation
bin100010010001100101100…
…000111001011111101100
322100011120001112101211100
4202101211200321133230
5302042221332414012
65002010341523100
7332111435610060
oct42214540713754
98304501471740
102355345201132
11828994a64930
12320594413490
131411536573b1
1481ddc1a1aa0
15414044248dc
hex224658397ec

2355345201132 has 144 divisors (see below), whose sum is σ = 7544593615104. Its totient is φ = 601748784000.

The previous prime is 2355345201127. The next prime is 2355345201161. The reversal of 2355345201132 is 2311025435532.

2355345201132 is a `hidden beast` number, since 2 + 3 + 5 + 534 + 5 + 2 + 0 + 113 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6795594 + ... + 7133777.

It is an arithmetic number, because the mean of its divisors is an integer number (52393011216).

Almost surely, 22355345201132 is an apocalyptic number.

2355345201132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2355345201132 is an abundant number, since it is smaller than the sum of its proper divisors (5189248413972).

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

2355345201132 is a wasteful number, since it uses less digits than its factorization.

2355345201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929460 (or 13929455 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 2355345201132 in words is "two trillion, three hundred fifty-five billion, three hundred forty-five million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 61 63 66 77 84 99 122 126 132 154 183 198 231 244 252 308 366 396 427 462 549 671 693 732 854 924 1098 1281 1342 1386 1708 2013 2196 2562 2684 2772 3843 4026 4697 5124 6039 7686 8052 9394 12078 14091 15372 18788 24156 28182 42273 56364 84546 169092 13929371 27858742 41788113 55717484 83576226 97505597 125364339 153223081 167152452 195011194 250728678 292516791 306446162 390022388 459669243 501457356 585033582 612892324 849691631 877550373 919338486 1072561567 1170067164 1379007729 1699383262 1755100746 1838676972 2145123134 2549074893 2758015458 3217684701 3398766524 3510201492 4290246268 5098149786 5516030916 5947841417 6435369402 7647224679 9346607941 9653054103 10196299572 11895682834 12870738804 15294449358 17843524251 18693215882 19306108206 23791365668 28039823823 30588898716 35687048502 37386431764 38612216412 53530572753 56079647646 65426255587 71374097004 84119471469 107061145506 112159295292 130852511174 168238942938 196278766761 214122291012 261705022348 336477885876 392557533522 588836300283 785115067044 1177672600566 2355345201132