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63434891808 = 253217103125791
BaseRepresentation
bin111011000101000000…
…111010001000100000
320001201212221101111100
4323011000322020200
52014403313014213
645050325514400
74403655453351
oct730500721040
9201655841440
1063434891808
11249a2385122
1210364272a00
135c9c27b752
1430dab43d28
1519b409d773
hexec503a220

63434891808 has 144 divisors (see below), whose sum is σ = 192860269056. Its totient is φ = 19707770880.

The previous prime is 63434891789. The next prime is 63434891813. The reversal of 63434891808 is 80819843436.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 441393 + ... + 567183.

It is an arithmetic number, because the mean of its divisors is an integer number (1339307424).

Almost surely, 263434891808 is an apocalyptic number.

63434891808 is a gapful number since it is divisible by the number (68) 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 63434891808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96430134528).

63434891808 is an abundant number, since it is smaller than the sum of its proper divisors (129425377248).

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

63434891808 is a wasteful number, since it uses less digits than its factorization.

63434891808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125927 (or 125916 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 63434891808 in words is "sixty-three billion, four hundred thirty-four million, eight hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 103 136 144 153 204 206 272 288 306 309 408 412 544 612 618 816 824 927 1224 1236 1632 1648 1751 1854 2448 2472 3296 3502 3708 4896 4944 5253 7004 7416 9888 10506 14008 14832 15759 21012 28016 29664 31518 42024 56032 63036 84048 125791 126072 168096 251582 252144 377373 503164 504288 754746 1006328 1132119 1509492 2012656 2138447 2264238 3018984 4025312 4276894 4528476 6037968 6415341 8553788 9056952 12075936 12830682 12956473 17107576 18113904 19246023 25661364 25912946 34215152 36227808 38492046 38869419 51322728 51825892 68430304 76984092 77738838 102645456 103651784 116608257 153968184 155477676 205290912 207303568 220260041 233216514 307936368 310955352 414607136 440520082 466433028 615872736 621910704 660780123 881040164 932866056 1243821408 1321560246 1762080328 1865732112 1982340369 2643120492 3524160656 3731464224 3964680738 5286240984 7048321312 7929361476 10572481968 15858722952 21144963936 31717445904 63434891808