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2553060150 = 2325254110487
BaseRepresentation
bin1001100000101100…
…1001101100110110
320120221000220010100
42120023021230312
520212040411100
61101200534530
7120160440024
oct23013115466
96527026110
102553060150
1110a0154973
125b3021446
13318c196a4
141a3103714
15ee20c400
hex982c9b36

2553060150 has 72 divisors (see below), whose sum is σ = 6872555664. Its totient is φ = 679492800.

The previous prime is 2553060131. The next prime is 2553060151. The reversal of 2553060150 is 510603552.

2553060150 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 601 + 50 = 666.

It is a super-2 number, since 2×25530601502 = 13036232259036045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553060151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238207 + ... + 248693.

It is an arithmetic number, because the mean of its divisors is an integer number (95452162).

Almost surely, 22553060150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553060150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436277832).

2553060150 is an abundant number, since it is smaller than the sum of its proper divisors (4319495514).

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

2553060150 is a wasteful number, since it uses less digits than its factorization.

2553060150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11046 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2553060150 is about 50527.8156068516. The cubic root of 2553060150 is about 1366.7434952513.

The spelling of 2553060150 in words is "two billion, five hundred fifty-three million, sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 541 1082 1623 2705 3246 4869 5410 8115 9738 10487 13525 16230 20974 24345 27050 31461 40575 48690 52435 62922 81150 94383 104870 121725 157305 188766 243450 262175 314610 471915 524350 786525 943830 1573050 2359575 4719150 5673467 11346934 17020401 28367335 34040802 51061203 56734670 85102005 102122406 141836675 170204010 255306015 283673350 425510025 510612030 851020050 1276530075 2553060150