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48230581504 = 287106125367
BaseRepresentation
bin101100111010110001…
…000100010100000000
311121111021100101202111
4230322301010110000
51242234012102004
634053512425104
73325125115150
oct547261042400
9147437311674
1048230581504
11194aa9a6816
1294203a8194
1347182c9531
142497738760
1513c437ca04
hexb3ac44500

48230581504 has 72 divisors (see below), whose sum is σ = 110134055808. Its totient is φ = 20649953280.

The previous prime is 48230581429. The next prime is 48230581513. The reversal of 48230581504 is 40518503284.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1888629 + ... + 1913995.

It is an arithmetic number, because the mean of its divisors is an integer number (1529639664).

Almost surely, 248230581504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48230581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55067027904).

48230581504 is an abundant number, since it is smaller than the sum of its proper divisors (61903474304).

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

48230581504 is a wasteful number, since it uses less digits than its factorization.

48230581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26451 (or 26437 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 48230581504 in words is "forty-eight billion, two hundred thirty million, five hundred eighty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1061 1792 2122 4244 7427 8488 14854 16976 25367 29708 33952 50734 59416 67904 101468 118832 135808 177569 202936 237664 271616 355138 405872 475328 710276 811744 950656 1420552 1623488 1901312 2841104 3246976 5682208 6493952 11364416 22728832 26914387 45457664 53828774 107657548 188400709 215315096 376801418 430630192 753602836 861260384 1507205672 1722520768 3014411344 3445041536 6028822688 6890083072 12057645376 24115290752 48230581504