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72310506004 = 2211101109314887
BaseRepresentation
bin100001101011000001…
…0101100001000010100
320220122102222022021001
41003112002230020110
52141042442143004
653115145033044
75136631105522
oct1032602541024
9226572868231
1072310506004
1128737439470
1212020785784
136a8502a779
1436dd81b312
151d333aa1a4
hex10d60ac214

72310506004 has 48 divisors (see below), whose sum is σ = 139551060096. Its totient is φ = 32511024000.

The previous prime is 72310505983. The next prime is 72310506007. The reversal of 72310506004 is 40060501327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72310506007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849849 + ... + 4864735.

It is an arithmetic number, because the mean of its divisors is an integer number (2907313752).

Almost surely, 272310506004 is an apocalyptic number.

It is an amenable number.

72310506004 is a deficient number, since it is larger than the sum of its proper divisors (67240554092).

72310506004 is a wasteful number, since it uses less digits than its factorization.

72310506004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 72310506004 in words is "seventy-two billion, three hundred ten million, five hundred six thousand, four".

Divisors: 1 2 4 11 22 44 101 202 404 1093 1111 2186 2222 4372 4444 12023 14887 24046 29774 48092 59548 110393 163757 220786 327514 441572 655028 1214323 1503587 2428646 3007174 4857292 6014348 16271491 16539457 32542982 33078914 65085964 66157828 178986401 357972802 715945604 1643420591 3286841182 6573682364 18077626501 36155253002 72310506004