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64517076156 = 223132924710463
BaseRepresentation
bin111100000101100001…
…000111010010111100
320011112022021001100010
4330011201013102330
52024112332414111
645345544503220
74442536045641
oct740541072274
9204468231303
1064517076156
11253a8231255
121060677ab10
136112532310
1431a0765dc8
151a290b5aa6
hexf058474bc

64517076156 has 144 divisors (see below), whose sum is σ = 171491733504. Its totient is φ = 18757277952.

The previous prime is 64517076101. The next prime is 64517076161. The reversal of 64517076156 is 65167071546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6160981 + ... + 6171443.

It is an arithmetic number, because the mean of its divisors is an integer number (1190914816).

Almost surely, 264517076156 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 64517076156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85745866752).

64517076156 is an abundant number, since it is smaller than the sum of its proper divisors (106974657348).

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

64517076156 is a wasteful number, since it uses less digits than its factorization.

64517076156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 10557 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 64517076156 in words is "sixty-four billion, five hundred seventeen million, seventy-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 47 52 58 78 87 94 116 141 156 174 188 282 348 377 564 611 754 841 1131 1222 1363 1508 1682 1833 2262 2444 2523 2726 3364 3666 4089 4524 5046 5452 7332 8178 10092 10463 10933 16356 17719 20926 21866 31389 32799 35438 39527 41852 43732 53157 62778 65598 70876 79054 106314 118581 125556 131196 136019 158108 212628 237162 272038 303427 408057 474324 491761 513851 544076 606854 816114 910281 983522 1027702 1213708 1475283 1541553 1632228 1820562 1967044 2055404 2950566 3083106 3641124 3944551 5901132 6166212 6392893 7889102 8799383 11833653 12785786 14261069 15778204 17598766 19178679 23667306 25571572 26398149 28522138 35197532 38357358 42783207 47334612 52796298 57044276 76714716 85566414 105592596 114391979 171132828 185393897 228783958 343175937 370787794 413571001 457567916 556181691 686351874 741575588 827142002 1112363382 1240713003 1372703748 1654284004 2224726764 2481426006 4962852012 5376423013 10752846026 16129269039 21505692052 32258538078 64517076156