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2746511145 = 375753677
BaseRepresentation
bin1010001110110100…
…0110111100101001
321002102001020000000
42203231012330221
521111101324040
61132311133213
7125026650060
oct24355067451
97072036000
102746511145
11118a374524
12647974209
1334a01cb31
141c0a9d1d7
151111c1130
hexa3b46f29

2746511145 has 128 divisors (see below), whose sum is σ = 5764193280. Its totient is φ = 1230038784.

The previous prime is 2746511111. The next prime is 2746511219. The reversal of 2746511145 is 5411156472.

It is not a de Polignac number, because 2746511145 - 28 = 2746510889 is a prime.

It is a super-2 number, since 2×27465111452 = 15086646939218422050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4056547 + ... + 4057223.

It is an arithmetic number, because the mean of its divisors is an integer number (45032760).

Almost surely, 22746511145 is an apocalyptic number.

It is an amenable number.

2746511145 is an abundant number, since it is smaller than the sum of its proper divisors (3017682135).

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

2746511145 is an frugal number, since it uses more digits than its factorization.

2746511145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2746511145 is about 52407.1669240000. The cubic root of 2746511145 is about 1400.4269352674.

The spelling of 2746511145 in words is "two billion, seven hundred forty-six million, five hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 53 63 81 105 135 159 189 243 265 315 371 405 477 567 677 729 795 945 1113 1215 1431 1701 1855 2031 2187 2385 2835 3339 3385 3645 4293 4739 5103 5565 6093 7155 8505 10017 10155 10935 12879 14217 15309 16695 18279 21465 23695 25515 30051 30465 35881 38637 42651 50085 54837 64395 71085 76545 90153 91395 107643 115911 127953 150255 164511 179405 193185 213255 251167 270459 274185 322929 383859 450765 493533 538215 579555 639765 753501 811377 822555 968787 1151577 1255835 1352295 1480599 1614645 1919295 2260503 2467665 2906361 3454731 3767505 4056885 4843935 5757885 6781509 7402995 8719083 10364193 11302515 14531805 17273655 20344527 26157249 33907545 43595415 51820965 61033581 78471747 101722635 130786245 183100743 305167905 392358735 549302229 915503715 2746511145