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6424561000 = 2353111344927
BaseRepresentation
bin1011111101110111…
…10000010101101000
3121120201221111212201
411332323300111220
5101124141423000
62541300345544
7315130603354
oct57673602550
917521844781
106424561000
1127a7551850
1212b36a52b4
137b50297b0
1444d368464
1527904d96a
hex17eef0568

6424561000 has 128 divisors (see below), whose sum is σ = 17662095360. Its totient is φ = 2156448000.

The previous prime is 6424560983. The next prime is 6424561019. The reversal of 6424561000 is 1654246.

It is a self number, because there is not a number n which added to its sum of digits gives 6424561000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120537 + ... + 165463.

It is an arithmetic number, because the mean of its divisors is an integer number (137985120).

Almost surely, 26424561000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831047680).

6424561000 is an abundant number, since it is smaller than the sum of its proper divisors (11237534360).

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

6424561000 is a wasteful number, since it uses less digits than its factorization.

6424561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44972 (or 44958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6424561000 is about 80153.3592558665. The cubic root of 6424561000 is about 1859.0075446929.

The spelling of 6424561000 in words is "six billion, four hundred twenty-four million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 125 130 143 200 220 250 260 275 286 325 440 500 520 550 572 650 715 1000 1100 1144 1300 1375 1430 1625 2200 2600 2750 2860 3250 3575 5500 5720 6500 7150 11000 13000 14300 17875 28600 35750 44927 71500 89854 143000 179708 224635 359416 449270 494197 584051 898540 988394 1123175 1168102 1797080 1976788 2246350 2336204 2470985 2920255 3953576 4492700 4672408 4941970 5615875 5840510 6424561 8985400 9883940 11231750 11681020 12354925 12849122 14601275 19767880 22463500 23362040 24709850 25698244 29202550 32122805 44927000 49419700 51396488 58405100 61774625 64245610 73006375 98839400 116810200 123549250 128491220 146012750 160614025 247098500 256982440 292025500 321228050 494197000 584051000 642456100 803070125 1284912200 1606140250 3212280500 6424561000