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2553550608 = 243747971667
BaseRepresentation
bin1001100000110100…
…0001011100010000
320120221221210220110
42120031001130100
520212202104413
61101215241320
7120164551650
oct23015013420
96527853813
102553550608
1110a045a404
125b3219240
1331905b9bb
141a31d0360
15ee2a78c3
hex98341710

2553550608 has 160 divisors (see below), whose sum is σ = 7783501824. Its totient is φ = 706277376.

The previous prime is 2553550583. The next prime is 2553550633. The reversal of 2553550608 is 8060553552.

It is an interprime number because it is at equal distance from previous prime (2553550583) and next prime (2553550633).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1530991 + ... + 1532657.

Almost surely, 22553550608 is an apocalyptic number.

2553550608 is a gapful number since it is divisible by the number (28) 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 2553550608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891750912).

2553550608 is an abundant number, since it is smaller than the sum of its proper divisors (5229951216).

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

2553550608 is a wasteful number, since it uses less digits than its factorization.

2553550608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The square root of 2553550608 is about 50532.6687203437. The cubic root of 2553550608 is about 1366.8310094919.

The spelling of 2553550608 in words is "two billion, five hundred fifty-three million, five hundred fifty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 97 112 141 168 188 194 282 291 329 336 376 388 564 582 658 679 752 776 987 1128 1164 1316 1358 1552 1667 1974 2037 2256 2328 2632 2716 3334 3948 4074 4559 4656 5001 5264 5432 6668 7896 8148 9118 10002 10864 11669 13336 13677 15792 16296 18236 20004 23338 26672 27354 31913 32592 35007 36472 40008 46676 54708 63826 70014 72944 78349 80016 93352 95739 109416 127652 140028 156698 161699 186704 191478 218832 235047 255304 280056 313396 323398 382956 470094 485097 510608 548443 560112 626792 646796 765912 940188 970194 1096886 1131893 1253584 1293592 1531824 1645329 1880376 1940388 2193772 2263786 2587184 3290658 3395679 3760752 3880776 4387544 4527572 6581316 6791358 7599853 7761552 8775088 9055144 13162632 13582716 15199706 18110288 22799559 26325264 27165432 30399412 45599118 53198971 54330864 60798824 91198236 106397942 121597648 159596913 182396472 212795884 319193826 364792944 425591768 638387652 851183536 1276775304 2553550608