Search a number
-
+
25155055152 = 24323110155793
BaseRepresentation
bin10111011011010110…
…111010111000110000
32101221002200012111100
4113123112322320300
5403004143231102
615320040044400
71550236304133
oct273326727060
971832605440
1025155055152
11a739411287
124a60463700
1324ab6b5326
141308bca21a
159c35eea1c
hex5db5bae30

25155055152 has 120 divisors (see below), whose sum is σ = 73390981248. Its totient is φ = 8034048000.

The previous prime is 25155055103. The next prime is 25155055201.

25155055152 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 50 + 551 + 52 = 666.

25155055152 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (25155055103) and next prime (25155055201).

It is a super-3 number, since 3×251550551523 (a number of 32 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 422968 + ... + 478760.

Almost surely, 225155055152 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 25155055152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36695490624).

25155055152 is an abundant number, since it is smaller than the sum of its proper divisors (48235926096).

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

25155055152 is a wasteful number, since it uses less digits than its factorization.

25155055152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55939 (or 55930 counting only the distinct ones).

The product of its (nonzero) digits is 62500, while the sum is 36.

The spelling of 25155055152 in words is "twenty-five billion, one hundred fifty-five million, fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 101 124 144 186 202 248 279 303 372 404 496 558 606 744 808 909 1116 1212 1488 1616 1818 2232 2424 3131 3636 4464 4848 6262 7272 9393 12524 14544 18786 25048 28179 37572 50096 55793 56358 75144 111586 112716 150288 167379 223172 225432 334758 446344 450864 502137 669516 892688 1004274 1339032 1729583 2008548 2678064 3459166 4017096 5188749 5635093 6918332 8034192 10377498 11270186 13836664 15566247 16905279 20754996 22540372 27673328 31132494 33810558 41509992 45080744 50715837 62264988 67621116 83019984 90161488 101431674 124529976 135242232 174687883 202863348 249059952 270484464 349375766 405726696 524063649 698751532 811453392 1048127298 1397503064 1572190947 2096254596 2795006128 3144381894 4192509192 6288763788 8385018384 12577527576 25155055152