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2553010500 = 2235310211667
BaseRepresentation
bin1001100000101011…
…1101100101000100
320120220221101000110
42120022331211010
520212032314000
61101155513020
7120160142205
oct23012754504
96526841013
102553010500
1110a0120637
125b2bb8770
13318bccc01
141a30cd5ac
15ee1ec850
hex982bd944

2553010500 has 96 divisors (see below), whose sum is σ = 7446112128. Its totient is φ = 679728000.

The previous prime is 2553010459. The next prime is 2553010519. The reversal of 2553010500 is 50103552.

It is a super-2 number, since 2×25530105002 = 13035725226220500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530667 + ... + 1532333.

It is an arithmetic number, because the mean of its divisors is an integer number (77563668).

Almost surely, 22553010500 is an apocalyptic number.

2553010500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723056064).

2553010500 is an abundant number, since it is smaller than the sum of its proper divisors (4893101628).

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

2553010500 is a wasteful number, since it uses less digits than its factorization.

2553010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 2553010500 is about 50527.3242909220. The cubic root of 2553010500 is about 1366.7346353929.

The spelling of 2553010500 in words is "two billion, five hundred fifty-three million, ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1021 1500 1667 2042 3063 3334 4084 5001 5105 6126 6668 8335 10002 10210 12252 15315 16670 20004 20420 25005 25525 30630 33340 41675 50010 51050 61260 76575 83350 100020 102100 125025 127625 153150 166700 208375 250050 255250 306300 382875 416750 500100 510500 625125 765750 833500 1250250 1531500 1702007 2500500 3404014 5106021 6808028 8510035 10212042 17020070 20424084 25530105 34040140 42550175 51060210 85100350 102120420 127650525 170200700 212750875 255301050 425501750 510602100 638252625 851003500 1276505250 2553010500