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893319484112 = 2411311371195121
BaseRepresentation
bin11001111111111011111…
…11011001001011010000
310011101210222012201020222
430333331333121023100
5104114004241442422
61522215120452212
7121353201220556
oct14777577311320
93141728181228
10893319484112
11314944618390
1212516aa7a068
1366316713623
1431346071bd6
1518385cbe842
hexcffdfd92d0

893319484112 has 80 divisors (see below), whose sum is σ = 1963289055744. Its totient is φ = 390087168000.

The previous prime is 893319484021. The next prime is 893319484129. The reversal of 893319484112 is 211484913398.

It is a congruent number.

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, 149912 + ... + 1345032.

Almost surely, 2893319484112 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 893319484112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981644527872).

893319484112 is an abundant number, since it is smaller than the sum of its proper divisors (1069969571632).

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

893319484112 is a wasteful number, since it uses less digits than its factorization.

893319484112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195308 (or 1195302 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The spelling of 893319484112 in words is "eight hundred ninety-three billion, three hundred nineteen million, four hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 137 176 248 274 341 496 548 682 1096 1364 1507 2192 2728 3014 4247 5456 6028 8494 12056 16988 24112 33976 46717 67952 93434 186868 373736 747472 1195121 2390242 4780484 9560968 13146331 19121936 26292662 37048751 52585324 74097502 105170648 148195004 163731577 210341296 296390008 327463154 407536261 592780016 654926308 815072522 1309852616 1630145044 1801047347 2619705232 3260290088 3602094694 5075678887 6520580176 7204189388 10151357774 14408378776 20302715548 28816757552 40605431096 55832467757 81210862192 111664935514 223329871028 446659742056 893319484112