Search a number
-
+
48397100869632 = 211359208164157
BaseRepresentation
bin10110000000100010101000…
…00000010110100000000000
320100100201101011122200221210
423000101110000112200000
522320414230310312012
6250533153214050120
713123401163544664
oct1300212400264000
9210321334580853
1048397100869632
111446a105805099
1255178231a9940
132100a99ca1ca8
14bd4609c908a4
1558ddbdcae23c
hex2c0454016800

48397100869632 has 192 divisors, whose sum is σ = 131279432356800. Its totient is φ = 15851069112320.

The previous prime is 48397100869609. The next prime is 48397100869661. The reversal of 48397100869632 is 23696800179384.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754322098 + ... + 754386254.

It is an arithmetic number, because the mean of its divisors is an integer number (683747043525).

Almost surely, 248397100869632 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 48397100869632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65639716178400).

48397100869632 is an abundant number, since it is smaller than the sum of its proper divisors (82882331487168).

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

48397100869632 is a wasteful number, since it uses less digits than its factorization.

48397100869632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66322 (or 66302 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 48397100869632 in words is "forty-eight trillion, three hundred ninety-seven billion, one hundred million, eight hundred sixty-nine thousand, six hundred thirty-two".