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92122969408 = 26233710116747
BaseRepresentation
bin101010111001011110…
…1001111010101000000
322210210012121201122221
41111302331033111000
53002131440010113
6110153134540424
76440615214511
oct1256275172500
9283705551587
1092122969408
1136084018468
1215a2b967714
1388c18c2cb2
14465cc46a08
1525e292e98d
hex1572f4f540

92122969408 has 112 divisors (see below), whose sum is σ = 197861675904. Its totient is φ = 42441062400.

The previous prime is 92122969397. The next prime is 92122969409. The reversal of 92122969408 is 80496922129.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92122969409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5492491 + ... + 5509237.

Almost surely, 292122969408 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 92122969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98930837952).

92122969408 is an abundant number, since it is smaller than the sum of its proper divisors (105738706496).

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

92122969408 is a wasteful number, since it uses less digits than its factorization.

92122969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16910 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 92122969408 in words is "ninety-two billion, one hundred twenty-two million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 101 148 184 202 296 368 404 592 736 808 851 1184 1472 1616 1702 2323 2368 3232 3404 3737 4646 6464 6808 7474 9292 13616 14948 16747 18584 27232 29896 33494 37168 54464 59792 66988 74336 85951 119584 133976 148672 171902 239168 267952 343804 385181 535904 619639 687608 770362 1071808 1239278 1375216 1540724 1691447 2478556 2750432 3081448 3382894 4957112 5500864 6162896 6765788 9914224 12325792 13531576 14251697 19828448 24651584 27063152 28503394 38903281 39656896 54126304 57006788 62583539 77806562 108252608 114013576 125167078 155613124 228027152 250334156 311226248 456054304 500668312 622452496 912108608 1001336624 1244904992 1439421397 2002673248 2489809984 2878842794 4005346496 5757685588 11515371176 23030742352 46061484704 92122969408