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104727631632 = 24313233013911
BaseRepresentation
bin110000110001001000…
…0001101011100010000
3101000022122111220122120
41201202100031130100
53203440233203012
6120040004334240
710365151116051
oct1414220153420
9330278456576
10104727631632
1140462021788
12183690a4380
139b500c6500
1450d6ca2728
152ace2de58c
hex186240d710

104727631632 has 120 divisors (see below), whose sum is σ = 293122185408. Its totient is φ = 32205888000.

The previous prime is 104727631621. The next prime is 104727631649. The reversal of 104727631632 is 236136727401.

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, 26775757 + ... + 26779667.

Almost surely, 2104727631632 is an apocalyptic number.

104727631632 is a gapful number since it is divisible by the number (12) 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 104727631632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146561092704).

104727631632 is an abundant number, since it is smaller than the sum of its proper divisors (188394553776).

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

104727631632 is a wasteful number, since it uses less digits than its factorization.

104727631632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 104727631632 in words is "one hundred four billion, seven hundred twenty-seven million, six hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 3301 3911 4056 6602 7822 8112 9903 11733 13204 15644 19806 23466 26408 31288 39612 42913 46932 50843 52816 62576 79224 85826 93864 101686 128739 152529 158448 171652 187728 203372 257478 305058 343304 406744 514956 557869 610116 660959 686608 813488 1029912 1115738 1220232 1321918 1673607 1982877 2059824 2231476 2440464 2643836 3347214 3965754 4462952 5287672 6694428 7931508 8925904 10575344 12910211 13388856 15863016 25820422 26777712 31726032 38730633 51640844 77461266 103281688 154922532 167832743 206563376 309845064 335665486 503498229 619690128 671330972 1006996458 1342661944 2013992916 2181825659 2685323888 4027985832 4363651318 6545476977 8055971664 8727302636 13090953954 17454605272 26181907908 34909210544 52363815816 104727631632