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6613040640 = 29351994327
BaseRepresentation
bin1100010100010101…
…01111111000000000
3122001212121021100010
412022022233320000
5102020414300030
63012112224520
7322606626603
oct61212577000
918055537303
106613040640
112893986348
12134683b140
138150ac1cb
1446a3cc33a
1528a87e6b0
hex18a2afe00

6613040640 has 160 divisors (see below), whose sum is σ = 21252211200. Its totient is φ = 1754210304.

The previous prime is 6613040639. The next prime is 6613040641. The reversal of 6613040640 is 460403166.

It is an interprime number because it is at equal distance from previous prime (6613040639) and next prime (6613040641).

It is a tau number, because it is divible by the number of its divisors (160).

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 = 6613040598 and 6613040607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6613040641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526157 + ... + 1530483.

It is an arithmetic number, because the mean of its divisors is an integer number (132826320).

Almost surely, 26613040640 is an apocalyptic number.

6613040640 is a gapful number since it is divisible by the number (60) 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 6613040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10626105600).

6613040640 is an abundant number, since it is smaller than the sum of its proper divisors (14639170560).

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

6613040640 is a wasteful number, since it uses less digits than its factorization.

6613040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6613040640 is about 81320.6040312048. The cubic root of 6613040640 is about 1877.0120637252.

The spelling of 6613040640 in words is "six billion, six hundred thirteen million, forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 199 240 256 320 384 398 480 512 597 640 768 796 960 995 1194 1280 1536 1592 1920 1990 2388 2560 2985 3184 3840 3980 4327 4776 5970 6368 7680 7960 8654 9552 11940 12736 12981 15920 17308 19104 21635 23880 25472 25962 31840 34616 38208 43270 47760 50944 51924 63680 64905 69232 76416 86540 95520 101888 103848 127360 129810 138464 152832 173080 191040 207696 254720 259620 276928 305664 346160 382080 415392 509440 519240 553856 692320 764160 830784 861073 1038480 1107712 1384640 1528320 1661568 1722146 2076960 2215424 2583219 2769280 3323136 3444292 4153920 4305365 5166438 5538560 6646272 6888584 8307840 8610730 10332876 11077120 12916095 13777168 16615680 17221460 20665752 25832190 27554336 33231360 34442920 41331504 51664380 55108672 68885840 82663008 103328760 110217344 137771680 165326016 206657520 220434688 275543360 330652032 413315040 440869376 551086720 661304064 826630080 1102173440 1322608128 1653260160 2204346880 3306520320 6613040640