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47686963152 = 2432325933167
BaseRepresentation
bin101100011010010111…
…010100111111010000
311120002101102201120110
4230122113110333100
51240130330310102
633523533041320
73305504333043
oct543227247720
9146071381513
1047686963152
1119251058254
1292aa326240
13465c7b197a
14244546ac5a
15139179a86c
hexb1a5d4fd0

47686963152 has 120 divisors (see below), whose sum is σ = 129038241024. Its totient is φ = 15174106112.

The previous prime is 47686963147. The next prime is 47686963213. The reversal of 47686963152 is 25136968674.

It is a junction number, because it is equal to n+sod(n) for n = 47686963092 and 47686963101.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15055873 + ... + 15059039.

Almost surely, 247686963152 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 47686963152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64519120512).

47686963152 is an abundant number, since it is smaller than the sum of its proper divisors (81351277872).

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

47686963152 is a wasteful number, since it uses less digits than its factorization.

47686963152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817 (or 3788 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 47686963152 in words is "forty-seven billion, six hundred eighty-six million, nine hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 529 552 593 1058 1104 1186 1587 1779 2116 2372 3167 3174 3558 4232 4744 6334 6348 7116 8464 9488 9501 12668 12696 13639 14232 19002 25336 25392 27278 28464 38004 40917 50672 54556 72841 76008 81834 109112 145682 152016 163668 218224 218523 291364 313697 327336 437046 582728 627394 654672 874092 941091 1165456 1254788 1675343 1748184 1878031 1882182 2509576 3350686 3496368 3756062 3764364 5019152 5026029 5634093 6701372 7512124 7528728 10052058 11268186 13402744 15024248 15057456 20104116 22536372 26805488 30048496 40208232 43194713 45072744 80416464 86389426 90145488 129584139 172778852 259168278 345557704 518336556 691115408 993478399 1036673112 1986956798 2073346224 2980435197 3973913596 5960870394 7947827192 11921740788 15895654384 23843481576 47686963152