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45761555136 = 2631123942061
BaseRepresentation
bin101010100111100110…
…011110101011000000
311101010012102212022110
4222213212132223000
51222204424231021
633004512535320
73210004541433
oct524746365300
9141105385273
1045761555136
1118453228760
128a51551540
13441392329b
14230186b81a
1512cc71e476
hexaa799eac0

45761555136 has 112 divisors (see below), whose sum is σ = 137827438848. Its totient is φ = 13264204800.

The previous prime is 45761555101. The next prime is 45761555143. The reversal of 45761555136 is 63155516754.

45761555136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 422455 + ... + 519606.

Almost surely, 245761555136 is an apocalyptic number.

45761555136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45761555136 is an abundant number, since it is smaller than the sum of its proper divisors (92065883712).

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

45761555136 is a wasteful number, since it uses less digits than its factorization.

45761555136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942110 (or 942100 counting only the distinct ones).

The product of its digits is 1890000, while the sum is 48.

The spelling of 45761555136 in words is "forty-five billion, seven hundred sixty-one million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 48576 942061 1884122 2826183 3768244 5652366 7536488 10362671 11304732 15072976 20725342 21667403 22609464 30145952 31088013 41450684 43334806 45218928 60291904 62176026 65002209 82901368 86669612 90437856 124352052 130004418 165802736 173339224 180875712 238341433 248704104 260008836 331605472 346678448 476682866 497408208 520017672 663210944 693356896 715024299 953365732 994816416 1040035344 1386713792 1430048598 1906731464 1989632832 2080070688 2860097196 3813462928 4160141376 5720194392 7626925856 11440388784 15253851712 22880777568 45761555136