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6611345040 = 243585932069
BaseRepresentation
bin1100010100001000…
…10001111010010000
3122001202102010102010
412022010101322100
5102020001020130
63012012022520
7322556335266
oct61204217220
918052363363
106611345040
112892a28423
121346161a40
138149374b1
1446a0aa436
1528a6470b0
hex18a111e90

6611345040 has 80 divisors (see below), whose sum is σ = 20519668800. Its totient is φ = 1760918016.

The previous prime is 6611345023. The next prime is 6611345071. The reversal of 6611345040 is 405431166.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6611344989 and 6611345007.

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, 190126 + ... + 222194.

It is an arithmetic number, because the mean of its divisors is an integer number (256495860).

Almost surely, 26611345040 is an apocalyptic number.

6611345040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6611345040 is an abundant number, since it is smaller than the sum of its proper divisors (13908323760).

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

6611345040 is a wasteful number, since it uses less digits than its factorization.

6611345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32944 (or 32938 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6611345040 is about 81310.1779606957. The cubic root of 6611345040 is about 1876.8516264982.

The spelling of 6611345040 in words is "six billion, six hundred eleven million, three hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 859 1718 2577 3436 4295 5154 6872 8590 10308 12885 13744 17180 20616 25770 32069 34360 41232 51540 64138 68720 96207 103080 128276 160345 192414 206160 256552 320690 384828 481035 513104 641380 769656 962070 1282760 1539312 1924140 2565520 3848280 7696560 27547271 55094542 82641813 110189084 137736355 165283626 220378168 275472710 330567252 413209065 440756336 550945420 661134504 826418130 1101890840 1322269008 1652836260 2203781680 3305672520 6611345040