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93013105380 = 2235131723304981
BaseRepresentation
bin101011010100000000…
…0110101101011100100
322220002020120022122220
41112220000311223210
53010442323333010
6110421333352340
76501644231226
oct1265000655344
9286066508586
1093013105380
11364a0522828
1216039a986b0
138a04144980
144705156416
152645b5d970
hex15a8035ae4

93013105380 has 192 divisors, whose sum is σ = 309881230848. Its totient is φ = 20611768320.

The previous prime is 93013105291. The next prime is 93013105433. The reversal of 93013105380 is 8350131039.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152490 + ... + 457470.

It is an arithmetic number, because the mean of its divisors is an integer number (1613964744).

Almost surely, 293013105380 is an apocalyptic number.

It is a pronic number, being equal to 304980×304981.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93013105380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154940615424).

93013105380 is an abundant number, since it is smaller than the sum of its proper divisors (216868125468).

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

93013105380 is a wasteful number, since it uses less digits than its factorization.

93013105380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305046 (or 305044 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 93013105380 in words is "ninety-three billion, thirteen million, one hundred five thousand, three hundred eighty".