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49007127456 = 25327231056917
BaseRepresentation
bin101101101001000011…
…010110101110100000
311200111101120000112200
4231221003112232200
51300331311034311
634302532453200
73353304465420
oct555103265640
9150441500480
1049007127456
1119869278231
1295b847a200
134810159a91
14252c91a480
15141c620556
hexb690d6ba0

49007127456 has 144 divisors (see below), whose sum is σ = 166198241664. Its totient is φ = 13393239552.

The previous prime is 49007127439. The next prime is 49007127487. The reversal of 49007127456 is 65472170094.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 482091 + ... + 574826.

It is an arithmetic number, because the mean of its divisors is an integer number (1154154456).

Almost surely, 249007127456 is an apocalyptic number.

49007127456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

49007127456 is an abundant number, since it is smaller than the sum of its proper divisors (117191114208).

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

49007127456 is a wasteful number, since it uses less digits than its factorization.

49007127456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056963 (or 1056952 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 49007127456 in words is "forty-nine billion, seven million, one hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 1056917 2113834 3170751 4227668 6341502 7398419 8455336 9512253 12683004 14796838 16910672 19024506 22195257 24309091 25366008 29593676 33821344 38049012 44390514 48618182 50732016 59187352 66585771 72927273 76098024 88781028 97236364 101464032 118374704 133171542 145854546 152196048 170163637 177562056 194472728 218781819 236749408 266343084 291709092 304392096 340327274 355124112 388945456 437563638 510490911 532686168 583418184 680654548 710248224 777890912 875127276 1020981822 1065372336 1166836368 1361309096 1531472733 1750254552 2041963644 2130744672 2333672736 2722618192 3062945466 3500509104 4083927288 5445236384 6125890932 7001018208 8167854576 12251781864 16335709152 24503563728 49007127456