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25322153052 = 223710714591931
BaseRepresentation
bin10111100101010100…
…010110010001011100
32102100202002122201110
4113211110112101130
5403324432344202
615344405342020
71554335515050
oct274524262134
972322078643
1025322153052
11a814771419
124aa8407910
1325071bc721
141323085c60
159d310a26c
hex5e551645c

25322153052 has 96 divisors (see below), whose sum is σ = 68238858240. Its totient is φ = 7158663360.

The previous prime is 25322153047. The next prime is 25322153107. The reversal of 25322153052 is 25035122352.

It is a super-2 number, since 2×253221530522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13112527 + ... + 13114457.

It is an arithmetic number, because the mean of its divisors is an integer number (710821440).

Almost surely, 225322153052 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 25322153052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34119429120).

25322153052 is an abundant number, since it is smaller than the sum of its proper divisors (42916705188).

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

25322153052 is a wasteful number, since it uses less digits than its factorization.

25322153052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 25322153052 in words is "twenty-five billion, three hundred twenty-two million, one hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1459 1498 1931 2247 2918 2996 3862 4377 4494 5793 5836 7724 8754 8988 10213 11586 13517 17508 20426 23172 27034 30639 40551 40852 54068 61278 81102 122556 156113 162204 206617 312226 413234 468339 619851 624452 826468 936678 1092791 1239702 1446319 1873356 2185582 2479404 2817329 2892638 3278373 4338957 4371164 5634658 5785276 6556746 8451987 8677914 11269316 13113492 16903974 17355828 19721303 33807948 39442606 59163909 78885212 118327818 236655636 301454203 602908406 904362609 1205816812 1808725218 2110179421 3617450436 4220358842 6330538263 8440717684 12661076526 25322153052