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26729005920 = 2535449124021
BaseRepresentation
bin11000111001001011…
…000100001101100000
32112222210100012001020
4120321023010031200
5414220111142140
620140143205440
71634240541651
oct307113041540
975883305036
1026729005920
1110376910841
12521b5a6880
13269c7ca446
141417c5d528
15a668a56d0
hex6392c4360

26729005920 has 96 divisors (see below), whose sum is σ = 84384568800. Its totient is φ = 7111802880.

The previous prime is 26729005909. The next prime is 26729005949. The reversal of 26729005920 is 2950092762.

It is a tau number, because it is divible by the number of its divisors (96).

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, 153510 + ... + 277530.

It is an arithmetic number, because the mean of its divisors is an integer number (879005925).

Almost surely, 226729005920 is an apocalyptic number.

26729005920 is a gapful number since it is divisible by the number (20) 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 26729005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42192284400).

26729005920 is an abundant number, since it is smaller than the sum of its proper divisors (57655562880).

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

26729005920 is a wasteful number, since it uses less digits than its factorization.

26729005920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124488 (or 124480 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 26729005920 in words is "twenty-six billion, seven hundred twenty-nine million, five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 449 480 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 10776 13470 14368 17960 21552 26940 35920 43104 53880 71840 107760 124021 215520 248042 372063 496084 620105 744126 992168 1240210 1488252 1860315 1984336 2480420 2976504 3720630 3968672 4960840 5953008 7441260 9921680 11906016 14882520 19843360 29765040 55685429 59530080 111370858 167056287 222741716 278427145 334112574 445483432 556854290 668225148 835281435 890966864 1113708580 1336450296 1670562870 1781933728 2227417160 2672900592 3341125740 4454834320 5345801184 6682251480 8909668640 13364502960 26729005920