Search a number
-
+
48693969324 = 2232721113231479
BaseRepresentation
bin101101010110011000…
…110000000110101100
311122200120021221100100
4231112120300012230
51244211124004244
634211504431100
73342452624100
oct552630600654
9148616257310
1048693969324
1119718526960
12952b618490
134790302b00
1424dd0bd900
1513eedb2b69
hexb566301ac

48693969324 has 648 divisors, whose sum is σ = 174960414720. Its totient is φ = 11274681600.

The previous prime is 48693969271. The next prime is 48693969353. The reversal of 48693969324 is 42396939684.

48693969324 is a `hidden beast` number, since 486 + 93 + 9 + 69 + 3 + 2 + 4 = 666.

It is a super-2 number, since 2×486939693242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 101657317 + ... + 101657795.

It is an arithmetic number, because the mean of its divisors is an integer number (270000640).

Almost surely, 248693969324 is an apocalyptic number.

48693969324 is a gapful number since it is divisible by the number (44) 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 48693969324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87480207360).

48693969324 is an abundant number, since it is smaller than the sum of its proper divisors (126266445396).

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

48693969324 is a wasteful number, since it uses less digits than its factorization.

48693969324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 48693969324 in words is "forty-eight billion, six hundred ninety-three million, nine hundred sixty-nine thousand, three hundred twenty-four".