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2756985088 = 281113127593
BaseRepresentation
bin1010010001010100…
…0100000100000000
321010010202100112211
42210111010010000
521121242010323
61133323431504
7125214662254
oct24425040400
97103670484
102756985088
111195278780
1264b385594
1334c249330
141c2228264
1511208e70d
hexa4544100

2756985088 has 144 divisors (see below), whose sum is σ = 6527195136. Its totient is φ = 1145733120.

The previous prime is 2756985073. The next prime is 2756985103. The reversal of 2756985088 is 8805896572.

It is an interprime number because it is at equal distance from previous prime (2756985073) and next prime (2756985103).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4648920 + ... + 4649512.

It is an arithmetic number, because the mean of its divisors is an integer number (45327744).

Almost surely, 22756985088 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 2756985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263597568).

2756985088 is an abundant number, since it is smaller than the sum of its proper divisors (3770210048).

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

2756985088 is a wasteful number, since it uses less digits than its factorization.

2756985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The square root of 2756985088 is about 52507.0003713791. Note that the first 3 decimals coincide. The cubic root of 2756985088 is about 1402.2048739983.

The spelling of 2756985088 in words is "two billion, seven hundred fifty-six million, nine hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 127 128 143 176 208 254 256 286 352 416 508 572 593 704 832 1016 1144 1186 1397 1408 1651 1664 2032 2288 2372 2794 2816 3302 3328 4064 4576 4744 5588 6523 6604 7709 8128 9152 9488 11176 13046 13208 15418 16256 18161 18304 18976 22352 26092 26416 30836 32512 36322 36608 37952 44704 52184 52832 61672 72644 75311 75904 84799 89408 104368 105664 123344 145288 150622 151808 169598 178816 208736 211328 246688 290576 301244 339196 357632 417472 422656 493376 581152 602488 678392 828421 834944 979043 986752 1162304 1204976 1356784 1656842 1669888 1958086 1973504 2324608 2409952 2713568 3313684 3916172 4649216 4819904 5427136 6627368 7832344 9639808 10769473 10854272 13254736 15664688 19279616 21538946 21708544 26509472 31329376 43077892 53018944 62658752 86155784 106037888 125317504 172311568 212075776 250635008 344623136 689246272 1378492544 2756985088