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10046500401 = 3719210113121
BaseRepresentation
bin10010101101101000…
…10110111000110001
3221221011021002200110
421112310112320301
5131033401003101
64340523211533
7503650562430
oct112664267061
927834232613
1010046500401
114295a954a3
121b44676ba9
13c4151b9c2
146b43c9117
153dbee5cd6
hex256d16e31

10046500401 has 48 divisors (see below), whose sum is σ = 16318309248. Its totient is φ = 5384448000.

The previous prime is 10046500361. The next prime is 10046500411. The reversal of 10046500401 is 10400564001.

10046500401 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10046500401 - 215 = 10046467633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10046500411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759121 + ... + 772241.

It is an arithmetic number, because the mean of its divisors is an integer number (339964776).

Almost surely, 210046500401 is an apocalyptic number.

It is an amenable number.

10046500401 is a deficient number, since it is larger than the sum of its proper divisors (6271808847).

10046500401 is a wasteful number, since it uses less digits than its factorization.

10046500401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 10046500401 in words is "ten billion, forty-six million, five hundred thousand, four hundred one".

Divisors: 1 3 7 19 21 57 101 133 303 361 399 707 1083 1919 2121 2527 5757 7581 13121 13433 36461 39363 40299 91847 109383 249299 255227 275541 747897 765681 1325221 1745093 3975663 4736681 5235279 9276547 14210043 25179199 27829641 33156767 75537597 99470301 176254393 478404781 528763179 1435214343 3348833467 10046500401