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49551399648 = 2533239239963
BaseRepresentation
bin101110001001011111…
…100101101011100000
311201220022200220122000
4232021133211223200
51302440124242043
634432534244000
73402633643002
oct561137455340
9151808626560
1049551399648
111a018522a63
12972a7b6600
134898b4312a
142580d18372
1514502d12d3
hexb897e5ae0

49551399648 has 96 divisors (see below), whose sum is σ = 145130227200. Its totient is φ = 16447955328.

The previous prime is 49551399613. The next prime is 49551399649. The reversal of 49551399648 is 84699315594.

49551399648 is a `hidden beast` number, since 4 + 9 + 551 + 39 + 9 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49551399649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86515 + ... + 326477.

It is an arithmetic number, because the mean of its divisors is an integer number (1511773200).

Almost surely, 249551399648 is an apocalyptic number.

49551399648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49551399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72565113600).

49551399648 is an abundant number, since it is smaller than the sum of its proper divisors (95578827552).

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

49551399648 is a wasteful number, since it uses less digits than its factorization.

49551399648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240221 (or 240207 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 49551399648 in words is "forty-nine billion, five hundred fifty-one million, three hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 239 288 432 478 717 864 956 1434 1912 2151 2868 3824 4302 5736 6453 7648 8604 11472 12906 17208 22944 25812 34416 51624 68832 103248 206496 239963 479926 719889 959852 1439778 1919704 2159667 2879556 3839408 4319334 5759112 6479001 7678816 8638668 11518224 12958002 17277336 23036448 25916004 34554672 51832008 57351157 69109344 103664016 114702314 172053471 207328032 229404628 344106942 458809256 516160413 688213884 917618512 1032320826 1376427768 1548481239 1835237024 2064641652 2752855536 3096962478 4129283304 5505711072 6193924956 8258566608 12387849912 16517133216 24775699824 49551399648