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3726765216 = 2532127101891
BaseRepresentation
bin1101111000100001…
…1110110010100000
3100121201120021210100
43132020132302200
530113022441331
61413445302400
7161231660466
oct33610366240
910551507710
103726765216
111642730959
12880104a00
13475135425
14274d4a836
1516c2a1ae6
hexde21eca0

3726765216 has 72 divisors (see below), whose sum is σ = 10681542144. Its totient is φ = 1232461440.

The previous prime is 3726765209. The next prime is 3726765257. The reversal of 3726765216 is 6125676273.

3726765216 is a `hidden beast` number, since 37 + 26 + 76 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14370 + ... + 87521.

It is an arithmetic number, because the mean of its divisors is an integer number (148354752).

Almost surely, 23726765216 is an apocalyptic number.

3726765216 is a gapful number since it is divisible by the number (36) 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 3726765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340771072).

3726765216 is an abundant number, since it is smaller than the sum of its proper divisors (6954776928).

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

3726765216 is a wasteful number, since it uses less digits than its factorization.

3726765216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102034 (or 102023 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3726765216 is about 61047.2375787799. The cubic root of 3726765216 is about 1550.4008974808.

The spelling of 3726765216 in words is "three billion, seven hundred twenty-six million, seven hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 36576 101891 203782 305673 407564 611346 815128 917019 1222692 1630256 1834038 2445384 3260512 3668076 4890768 7336152 9781536 12940157 14672304 25880314 29344608 38820471 51760628 77640942 103521256 116461413 155281884 207042512 232922826 310563768 414085024 465845652 621127536 931691304 1242255072 1863382608 3726765216