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10006606720 = 275111817853
BaseRepresentation
bin10010101000111000…
…01011001110000000
3221211101012021211201
421110130023032000
5130443142403340
64332540150544
7502654516345
oct112434131600
927741167751
1010006606720
114275517810
121b33238454
13c36191686
146acda27cc
153d876579a
hex25470b380

10006606720 has 128 divisors (see below), whose sum is σ = 26244298080. Its totient is φ = 3618201600.

The previous prime is 10006606699. The next prime is 10006606781. The reversal of 10006606720 is 2760660001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270314 + ... + 1278166.

Almost surely, 210006606720 is an apocalyptic number.

10006606720 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 10006606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122149040).

10006606720 is an abundant number, since it is smaller than the sum of its proper divisors (16237691360).

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

10006606720 is a wasteful number, since it uses less digits than its factorization.

10006606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10006606720 in words is "ten billion, six million, six hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 181 220 320 352 362 440 640 704 724 880 905 1408 1448 1760 1810 1991 2896 3520 3620 3982 5792 7040 7240 7853 7964 9955 11584 14480 15706 15928 19910 23168 28960 31412 31856 39265 39820 57920 62824 63712 78530 79640 86383 115840 125648 127424 157060 159280 172766 251296 254848 314120 318560 345532 431915 502592 628240 637120 691064 863830 1005184 1256480 1274240 1382128 1421393 1727660 2512960 2764256 2842786 3455320 5025920 5528512 5685572 6910640 7106965 11057024 11371144 13821280 14213930 15635323 22742288 27642560 28427860 31270646 45484576 55285120 56855720 62541292 78176615 90969152 113711440 125082584 156353230 181938304 227422880 250165168 312706460 454845760 500330336 625412920 909691520 1000660672 1250825840 2001321344 2501651680 5003303360 10006606720