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48605774040 = 23325739182701
BaseRepresentation
bin101101010001001000…
…010100000011011000
311122110102100011011100
4231101020110003120
51244021034232130
634155034231400
73340332156015
oct552110240330
9148412304140
1048605774040
111968276849a
129505b85560
134777c63455
1424d14c270c
1513e7290c60
hexb512140d8

48605774040 has 96 divisors (see below), whose sum is σ = 158183391600. Its totient is φ = 12943929600.

The previous prime is 48605774039. The next prime is 48605774059. The reversal of 48605774040 is 4047750684.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174690 + ... + 357390.

Almost surely, 248605774040 is an apocalyptic number.

48605774040 is a gapful number since it is divisible by the number (40) 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 48605774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79091695800).

48605774040 is an abundant number, since it is smaller than the sum of its proper divisors (109577617560).

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

48605774040 is a wasteful number, since it uses less digits than its factorization.

48605774040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183457 (or 183450 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 48605774040 in words is "forty-eight billion, six hundred five million, seven hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 739 1478 2217 2956 3695 4434 5912 6651 7390 8868 11085 13302 14780 17736 22170 26604 29560 33255 44340 53208 66510 88680 133020 182701 266040 365402 548103 730804 913505 1096206 1461608 1644309 1827010 2192412 2740515 3288618 3654020 4384824 5481030 6577236 7308040 8221545 10962060 13154472 16443090 21924120 32886180 65772360 135016039 270032078 405048117 540064156 675080195 810096234 1080128312 1215144351 1350160390 1620192468 2025240585 2430288702 2700320780 3240384936 4050481170 4860577404 5400641560 6075721755 8100962340 9721154808 12151443510 16201924680 24302887020 48605774040