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69138354852 = 223271972575419
BaseRepresentation
bin100000001100011110…
…1111001001010100100
320121110101000022221100
41000120331321022210
52113043404323402
651432310520100
74665212214450
oct1003075711244
9217411008840
1069138354852
1127359887346
1211496366030
13669aa8ca58
1434bc401660
151be9b5d71c
hex1018f792a4

69138354852 has 144 divisors (see below), whose sum is σ = 201565203840. Its totient is φ = 19573456896.

The previous prime is 69138354827. The next prime is 69138354889. The reversal of 69138354852 is 25845383196.

69138354852 is a `hidden beast` number, since 6 + 9 + 13 + 83 + 548 + 5 + 2 = 666.

It is a super-2 number, since 2×691383548522 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12755799 + ... + 12761217.

It is an arithmetic number, because the mean of its divisors is an integer number (1399758360).

Almost surely, 269138354852 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 69138354852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100782601920).

69138354852 is an abundant number, since it is smaller than the sum of its proper divisors (132426848988).

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

69138354852 is a wasteful number, since it uses less digits than its factorization.

69138354852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5885 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 69138354852 in words is "sixty-nine billion, one hundred thirty-eight million, three hundred fifty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 257 394 514 591 771 788 1028 1182 1379 1542 1773 1799 2313 2364 2758 3084 3546 3598 4137 4626 5397 5419 5516 7092 7196 8274 9252 10794 10838 12411 16191 16257 16548 21588 21676 24822 32382 32514 37933 48771 49644 50629 64764 65028 75866 97542 101258 113799 151732 151887 195084 202516 227598 303774 341397 354403 455196 455661 607548 682794 708806 911322 1063209 1067543 1365588 1392683 1417612 1822644 2126418 2135086 2785366 3189627 3202629 4178049 4252836 4270172 5570732 6379254 6405258 7472801 8356098 9607887 9748781 12534147 12758508 12810516 14945602 16712196 19215774 19497562 22418403 25068294 29246343 29891204 38431548 38995124 44836806 50136588 58492686 67255209 87739029 89673612 116985372 134510418 175478058 269020836 274358551 350956116 548717102 823075653 1097434204 1646151306 1920509857 2469226959 3292302612 3841019714 4938453918 5761529571 7682039428 9876907836 11523059142 17284588713 23046118284 34569177426 69138354852