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84380300704 = 2573116637307
BaseRepresentation
bin100111010010101110…
…1010011010110100000
322001210121102101221101
41032211131103112200
52340302324110304
6102432550404144
76045010502410
oct1164535232640
9261717371841
1084380300704
1132870530907
121442a960654
137c5978b51b
144126806640
1522dcd158a4
hex13a57535a0

84380300704 has 96 divisors (see below), whose sum is σ = 196124737536. Its totient is φ = 34970607360.

The previous prime is 84380300699. The next prime is 84380300737. The reversal of 84380300704 is 40700308348.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11544219 + ... + 11551525.

It is an arithmetic number, because the mean of its divisors is an integer number (2042966016).

Almost surely, 284380300704 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 84380300704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98062368768).

84380300704 is an abundant number, since it is smaller than the sum of its proper divisors (111744436832).

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

84380300704 is a wasteful number, since it uses less digits than its factorization.

84380300704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 84380300704 in words is "eighty-four billion, three hundred eighty million, three hundred thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1663 1736 3326 3472 6652 6944 7307 11641 13304 14614 23282 26608 29228 46564 51149 51553 53216 58456 93128 102298 103106 116912 186256 204596 206212 226517 233824 360871 372512 409192 412424 453034 721742 818384 824848 906068 1443484 1585619 1636768 1649696 1812136 2886968 3171238 3624272 5773936 6342476 7248544 11547872 12151541 12684952 24303082 25369904 48606164 50739808 85060787 97212328 170121574 194424656 340243148 376697771 388849312 680486296 753395542 1360972592 1506791084 2636884397 2721945184 3013582168 5273768794 6027164336 10547537588 12054328672 21095075176 42190150352 84380300704