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100692090016 = 2573143337223
BaseRepresentation
bin101110111000110110…
…1110101110010100000
3100121220101221011021021
41131301231311302200
53122204133340031
6114131324535224
710163146433440
oct1356155656240
9317811834237
10100692090016
1139781072621
12176216b1514
13965900c66b
144c32d3a120
152944d98511
hex1771b75ca0

100692090016 has 96 divisors (see below), whose sum is σ = 239304941568. Its totient is φ = 40790373120.

The previous prime is 100692089999. The next prime is 100692090041. The reversal of 100692090016 is 610090296001.

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, 129981 + ... + 467203.

It is an arithmetic number, because the mean of its divisors is an integer number (2492759808).

Almost surely, 2100692090016 is an apocalyptic number.

100692090016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100692090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119652470784).

100692090016 is an abundant number, since it is smaller than the sum of its proper divisors (138612851552).

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

100692090016 is a wasteful number, since it uses less digits than its factorization.

100692090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337314 (or 337306 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 100692090016 in words is "one hundred billion, six hundred ninety-two million, ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 86 112 124 172 217 224 248 301 344 434 496 602 688 868 992 1204 1333 1376 1736 2408 2666 3472 4816 5332 6944 9331 9632 10664 18662 21328 37324 42656 74648 149296 298592 337223 674446 1348892 2360561 2697784 4721122 5395568 9442244 10453913 10791136 14500589 18884488 20907826 29001178 37768976 41815652 58002356 73177391 75537952 83631304 101504123 116004712 146354782 167262608 203008246 232009424 292709564 334525216 406016492 449518259 464018848 585419128 812032984 899036518 1170838256 1624065968 1798073036 2341676512 3146627813 3248131936 3596146072 6293255626 7192292144 12586511252 14384584288 25173022504 50346045008 100692090016