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2640312048 = 24311192311443
BaseRepresentation
bin1001110101011111…
…1111011011110000
320211000012202020010
42131113333123300
520401404441143
61113555014520
7122300165523
oct23527773360
96730182203
102640312048
111135429580
1261829a440
1333101882a
141b0936bba
15106be4a33
hex9d5ff6f0

2640312048 has 160 divisors (see below), whose sum is σ = 8173762560. Its totient is φ = 724965120.

The previous prime is 2640312043. The next prime is 2640312049. The reversal of 2640312048 is 8402130462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640312043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225015 + ... + 236457.

It is an arithmetic number, because the mean of its divisors is an integer number (51086016).

Almost surely, 22640312048 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 2640312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086881280).

2640312048 is an abundant number, since it is smaller than the sum of its proper divisors (5533450512).

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

2640312048 is a wasteful number, since it uses less digits than its factorization.

2640312048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11507 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2640312048 is about 51383.9668379155. The cubic root of 2640312048 is about 1382.1390979919.

The spelling of 2640312048 in words is "two billion, six hundred forty million, three hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 132 138 152 176 184 209 228 253 264 276 304 368 418 437 456 506 528 552 627 759 836 874 912 1012 1104 1254 1311 1518 1672 1748 2024 2508 2622 3036 3344 3496 4048 4807 5016 5244 6072 6992 9614 10032 10488 11443 12144 14421 19228 20976 22886 28842 34329 38456 45772 57684 68658 76912 91544 115368 125873 137316 183088 217417 230736 251746 263189 274632 377619 434834 503492 526378 549264 652251 755238 789567 869668 1006984 1052756 1304502 1510476 1579134 1739336 2013968 2105512 2391587 2609004 2895079 3020952 3158268 3478672 4211024 4783174 5000591 5218008 5790158 6041904 6316536 7174761 8685237 9566348 10001182 10436016 11580316 12633072 14349522 15001773 17370474 19132696 20002364 23160632 28699044 30003546 34740948 38265392 40004728 46321264 55006501 57398088 60007092 69481896 80009456 110013002 114796176 120014184 138963792 165019503 220026004 240028368 330039006 440052008 660078012 880104016 1320156024 2640312048