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2958272512 = 21113234831
BaseRepresentation
bin1011000001010011…
…1010100000000000
321122011111210222121
42300110322200000
522024304210022
61205314014024
7133210621126
oct26024724000
97564453877
102958272512
11128895aa18
126a6877314
13381b64610
14200c63916
15124aa02c7
hexb053a800

2958272512 has 96 divisors (see below), whose sum is σ = 6648445440. Its totient is φ = 1305722880.

The previous prime is 2958272503. The next prime is 2958272521. The reversal of 2958272512 is 2152728592.

It is an interprime number because it is at equal distance from previous prime (2958272503) and next prime (2958272521).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609937 + ... + 614767.

It is an arithmetic number, because the mean of its divisors is an integer number (69254640).

Almost surely, 22958272512 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 2958272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324222720).

2958272512 is an abundant number, since it is smaller than the sum of its proper divisors (3690172928).

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

2958272512 is a wasteful number, since it uses less digits than its factorization.

2958272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4869 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 2958272512 is about 54390.0037874608. The cubic root of 2958272512 is about 1435.5314978096.

The spelling of 2958272512 in words is "two billion, nine hundred fifty-eight million, two hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2048 2392 2944 3328 4784 4831 5888 6656 9568 9662 11776 13312 19136 19324 23552 26624 38272 38648 47104 62803 76544 77296 111113 125606 153088 154592 222226 251212 306176 309184 444452 502424 612352 618368 888904 1004848 1236736 1444469 1777808 2009696 2473472 2888938 3555616 4019392 4946944 5777876 7111232 8038784 9893888 11555752 14222464 16077568 23111504 28444928 32155136 46223008 56889856 64310272 92446016 113779712 128620544 184892032 227559424 369784064 739568128 1479136256 2958272512