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4603568640 = 29351154493
BaseRepresentation
bin1000100100110010…
…01110001000000000
3102212211102111222020
410102121032020000
533412003144030
62040450241440
7222036454626
oct42231161000
912784374866
104603568640
111a5265a290
12a85886280
13584999718
14319589516
151be24a510
hex11264e200

4603568640 has 160 divisors (see below), whose sum is σ = 16055240256. Its totient is φ = 1115996160.

The previous prime is 4603568581. The next prime is 4603568647. The reversal of 4603568640 is 468653064.

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

It is a junction number, because it is equal to n+sod(n) for n = 4603568592 and 4603568601.

It is not an unprimeable number, because it can be changed into a prime (4603568647) 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, 57234 + ... + 111726.

Almost surely, 24603568640 is an apocalyptic number.

4603568640 is a gapful number since it is divisible by the number (40) 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 4603568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027620128).

4603568640 is an abundant number, since it is smaller than the sum of its proper divisors (11451671616).

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

4603568640 is a wasteful number, since it uses less digits than its factorization.

4603568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54530 (or 54514 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4603568640 is about 67849.6030939017. The cubic root of 4603568640 is about 1663.5334614171.

It can be divided in two parts, 460356 and 8640, that added together give a triangular number (468996 = T968).

The spelling of 4603568640 in words is "four billion, six hundred three million, five hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 54493 84480 108986 163479 217972 272465 326958 435944 544930 599423 653916 817395 871888 1089860 1198846 1307832 1634790 1743776 1798269 2179720 2397692 2615664 2997115 3269580 3487552 3596538 4359440 4795384 5231328 5994230 6539160 6975104 7193076 8718880 8991345 9590768 10462656 11988460 13078320 13950208 14386152 17437760 17982690 19181536 20925312 23976920 26156640 27900416 28772304 34875520 35965380 38363072 41850624 47953840 52313280 57544608 69751040 71930760 76726144 83701248 95907680 104626560 115089216 139502080 143861520 153452288 191815360 209253120 230178432 287723040 306904576 383630720 418506240 460356864 575446080 767261440 920713728 1150892160 1534522880 2301784320 4603568640