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16437123703040 = 285101768116553
BaseRepresentation
bin1110111100110001000011…
…1010110110000100000000
32011012101002102010200112212
43233030100322312010000
54123301212131444130
654543035502041252
73314354151131045
oct357142072660400
964171072120485
1016437123703040
115267a438a7387
121a1575b579228
13923025016c31
1440b7bd6871cc
151d78799eee95
hexef310eb6100

16437123703040 has 144 divisors (see below), whose sum is σ = 39769449186096. Its totient is φ = 6508511232000.

The previous prime is 16437123703003. The next prime is 16437123703069. The reversal of 16437123703040 is 4030732173461.

It can be written as a sum of positive squares in 8 ways, for example, as 5502514913536 + 10934608789504 = 2345744^2 + 3306752^2 .

It is an unprimeable number.

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, 992991404 + ... + 993007956.

It is an arithmetic number, because the mean of its divisors is an integer number (276176730459).

Almost surely, 216437123703040 is an apocalyptic number.

16437123703040 is a gapful number since it is divisible by the number (10) 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 16437123703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19884724593048).

16437123703040 is an abundant number, since it is smaller than the sum of its proper divisors (23332325483056).

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

16437123703040 is a wasteful number, since it uses less digits than its factorization.

16437123703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 24342 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 16437123703040 in words is "sixteen trillion, four hundred thirty-seven billion, one hundred twenty-three million, seven hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 640 808 1010 1280 1616 2020 3232 4040 6464 7681 8080 12928 15362 16160 16553 25856 30724 32320 33106 38405 61448 64640 66212 76810 82765 122896 129280 132424 153620 165530 245792 264848 307240 331060 491584 529696 614480 662120 775781 983168 1059392 1228960 1324240 1551562 1671853 1966336 2118784 2457920 2648480 3103124 3343706 3878905 4237568 4915840 5296960 6206248 6687412 7757810 8359265 9831680 10593920 12412496 13374824 15515620 16718530 21187840 24824992 26749648 31031240 33437060 49649984 53499296 62062480 66874120 99299968 106998592 124124960 127143593 133748240 198599936 213997184 248249920 254287186 267496480 427994368 496499840 508574372 534992960 635717965 992999680 1017148744 1069985920 1271435930 2034297488 2139971840 2542871860 4068594976 5085743720 8137189952 10171487440 12841502893 16274379904 20342974880 25683005786 32548759808 40685949760 51366011572 64207514465 81371899520 102732023144 128415028930 162743799040 205464046288 256830057860 410928092576 513660115720 821856185152 1027320231440 1643712370304 2054640462880 3287424740608 4109280925760 8218561851520 16437123703040