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64106507192 = 23713712335323
BaseRepresentation
bin111011101101000010…
…111010101110111000
320010110200200222121012
4323231002322232320
52022242231212232
645241120533052
74426422214610
oct735502725670
9203420628535
1064106507192
11252074a7762
1210511181188
1360784601c0
14316200da40
151a030159b2
hexeed0babb8

64106507192 has 128 divisors (see below), whose sum is σ = 150693903360. Its totient is φ = 24891632640.

The previous prime is 64106507149. The next prime is 64106507207. The reversal of 64106507192 is 29170560146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12040643 + ... + 12045965.

It is an arithmetic number, because the mean of its divisors is an integer number (1177296120).

Almost surely, 264106507192 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 64106507192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75346951680).

64106507192 is an abundant number, since it is smaller than the sum of its proper divisors (86587396168).

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

64106507192 is a wasteful number, since it uses less digits than its factorization.

64106507192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 64106507192 in words is "sixty-four billion, one hundred six million, five hundred seven thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 233 284 364 466 497 568 728 923 932 994 1631 1846 1864 1988 3029 3262 3692 3976 5323 6058 6461 6524 7384 10646 12116 12922 13048 16543 21203 21292 24232 25844 33086 37261 42406 42584 51688 66172 69199 74522 84812 115801 132344 138398 149044 169624 215059 231602 276796 298088 377933 430118 463204 484393 553592 755866 860236 926408 968786 1240259 1505413 1511732 1720472 1937572 2480518 2645531 3010826 3023464 3875144 4913129 4961036 5291062 6021652 8681813 9826258 9922072 10582124 12043304 16123367 17363626 19652516 21164248 32246734 34391903 34727252 39305032 64493468 68783806 69454504 88058389 112863569 128986936 137567612 176116778 225727138 275135224 352233556 451454276 616408723 704467112 902908552 1144759057 1232817446 2289518114 2465634892 4579036228 4931269784 8013313399 9158072456 16026626798 32053253596 64106507192