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252334430054553 = 371119712973427423
BaseRepresentation
bin111001010111111100110000…
…000100010110100010011001
31020002102221021021210012012010
4321113330300010112202121
5231033221403043221203
62252400500432340133
7104102363260100220
oct7127746004264231
91202387237705163
10252334430054553
117344648146a060
122437412a0a4649
13aaa505b193962
1446450a1767cb7
151e28be6d88303
hexe57f30116899

252334430054553 has 64 divisors (see below), whose sum is σ = 421627774943232. Its totient is φ = 130407067687680.

The previous prime is 252334430054503. The next prime is 252334430054561. The reversal of 252334430054553 is 355450034433252.

It is a happy number.

It is not a de Polignac number, because 252334430054553 - 216 = 252334429989017 is a prime.

It is a super-2 number, since 2×2523344300545532 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252334430054503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590148600 + ... + 590576022.

It is an arithmetic number, because the mean of its divisors is an integer number (6587933983488).

Almost surely, 2252334430054553 is an apocalyptic number.

It is an amenable number.

252334430054553 is a deficient number, since it is larger than the sum of its proper divisors (169293344888679).

252334430054553 is a wasteful number, since it uses less digits than its factorization.

252334430054553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440614.

The product of its (nonzero) digits is 12960000, while the sum is 48.

The spelling of 252334430054553 in words is "two hundred fifty-two trillion, three hundred thirty-four billion, four hundred thirty million, fifty-four thousand, five hundred fifty-three".

Divisors: 1 3 7 11 21 33 77 197 231 591 1379 2167 4137 6501 12973 15169 38919 45507 90811 142703 272433 427423 428109 998921 1282269 2555681 2991961 2996763 4701653 7667043 8975883 14104959 17889767 28112491 32911571 53669301 84202331 84337473 98734713 196787437 252606993 589416317 590362311 926225641 1768248951 2778676923 5544958579 6483579487 16634875737 19450738461 38814710053 60994544369 116444130159 182983633107 426961810583 1092356840063 1280885431749 3277070520189 7646497880441 12015925240693 22939493641323 36047775722079 84111476684851 252334430054553