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92106542208 = 273478361487
BaseRepresentation
bin101010111000111111…
…0100100110010000000
322210202001201010210010
41111301332210302000
53002113233322313
6110151350504520
76440325456012
oct1256176446200
9283661633703
1092106542208
113607581846a
1215a26365140
1388bb390b65
14465a9ac1b2
1525e12874c3
hex1571fa4c80

92106542208 has 128 divisors (see below), whose sum is σ = 252878008320. Its totient is φ = 29686424576.

The previous prime is 92106542173. The next prime is 92106542303. The reversal of 92106542208 is 80224560129.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1467241 + ... + 1528727.

It is an arithmetic number, because the mean of its divisors is an integer number (1975609440).

Almost surely, 292106542208 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 92106542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126439004160).

92106542208 is an abundant number, since it is smaller than the sum of its proper divisors (160771466112).

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

92106542208 is a wasteful number, since it uses less digits than its factorization.

92106542208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61634 (or 61622 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 92106542208 in words is "ninety-two billion, one hundred six million, five hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 83 94 96 128 141 166 188 192 249 282 332 376 384 498 564 664 752 996 1128 1328 1504 1992 2256 2656 3008 3901 3984 4512 5312 6016 7802 7968 9024 10624 11703 15604 15936 18048 23406 31208 31872 46812 61487 62416 93624 122974 124832 184461 187248 245948 249664 368922 374496 491896 499328 737844 748992 983792 1475688 1497984 1967584 2889889 2951376 3935168 5103421 5779778 5902752 7870336 8669667 10206842 11559556 11805504 15310263 17339334 20413684 23119112 23611008 30620526 34678668 40827368 46238224 61241052 69357336 81654736 92476448 122482104 138714672 163309472 184952896 239860787 244964208 277429344 326618944 369905792 479721574 489928416 554858688 653237888 719582361 959443148 979856832 1109717376 1439164722 1918886296 1959713664 2878329444 3837772592 5756658888 7675545184 11513317776 15351090368 23026635552 30702180736 46053271104 92106542208