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2770630072 = 237294736299
BaseRepresentation
bin1010010100100100…
…0111010110111000
321011002102120221121
42211021013112320
521133240130242
61134532115024
7125441652460
oct24511072670
97132376847
102770630072
1111a1a48421
12653a65a74
13352015ca2
141c3d7aba0
15113387667
hexa52475b8

2770630072 has 64 divisors (see below), whose sum is σ = 6272640000. Its totient is φ = 1122043776.

The previous prime is 2770630069. The next prime is 2770630111. The reversal of 2770630072 is 2700360772.

It is a congruent number.

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, 58179 + ... + 94477.

It is an arithmetic number, because the mean of its divisors is an integer number (98010000).

Almost surely, 22770630072 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 2770630072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136320000).

2770630072 is an abundant number, since it is smaller than the sum of its proper divisors (3502009928).

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

2770630072 is a wasteful number, since it uses less digits than its factorization.

2770630072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36388 (or 36384 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 2770630072 is about 52636.7749012038. The cubic root of 2770630072 is about 1404.5143514710.

The spelling of 2770630072 in words is "two billion, seven hundred seventy million, six hundred thirty thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 29 47 56 58 94 116 188 203 232 329 376 406 658 812 1316 1363 1624 2632 2726 5452 9541 10904 19082 36299 38164 72598 76328 145196 254093 290392 508186 1016372 1052671 1706053 2032744 2105342 3412106 4210684 6824212 7368697 8421368 11942371 13648424 14737394 23884742 29474788 47769484 49475537 58949576 95538968 98951074 197902148 346328759 395804296 692657518 1385315036 2770630072