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14063564380932 = 223211174494652699
BaseRepresentation
bin1100110010100110110111…
…0000100101101100000100
31211210110111222112001221100
43030221231300211230010
53320404134440142212
645524413504220100
72651026143566313
oct314515560455404
954713458461840
1014063564380932
114532362502910
1216b174330a630
137b025ac9c781
1436897447c27a
15195c5b528bdc
hexcca6dc25b04

14063564380932 has 144 divisors (see below), whose sum is σ = 41154062040000. Its totient is φ = 4002064711680.

The previous prime is 14063564380913. The next prime is 14063564380951. The reversal of 14063564380932 is 23908346536041.

14063564380932 is a `hidden beast` number, since 1 + 40 + 6 + 3 + 564 + 3 + 8 + 0 + 9 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (14063564380913) and next prime (14063564380951).

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, 696319 + ... + 5349017.

It is an arithmetic number, because the mean of its divisors is an integer number (285792097500).

Almost surely, 214063564380932 is an apocalyptic number.

14063564380932 is a gapful number since it is divisible by the number (12) 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 14063564380932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20577031020000).

14063564380932 is an abundant number, since it is smaller than the sum of its proper divisors (27090497659068).

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

14063564380932 is a wasteful number, since it uses less digits than its factorization.

14063564380932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653186 (or 4653181 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 14063564380932 in words is "fourteen trillion, sixty-three billion, five hundred sixty-four million, three hundred eighty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 449 561 612 748 898 1122 1347 1683 1796 2244 2694 3366 4041 4939 5388 6732 7633 8082 9878 14817 15266 16164 19756 22899 29634 30532 44451 45798 59268 68697 83963 88902 91596 137394 167926 177804 251889 274788 335852 503778 755667 1007556 1511334 3022668 4652699 9305398 13958097 18610796 27916194 41874291 51179689 55832388 79095883 83748582 102359378 153539067 158191766 167497164 204718756 237287649 307078134 316383532 460617201 474575298 614156268 711862947 870054713 921234402 949150596 1423725894 1740109426 1842468804 2089061851 2610164139 2847451788 3480218852 4178123702 5220328278 6267185553 7830492417 8356247404 10440656556 12534371106 15660984834 18801556659 22979680361 25068742212 31321969668 35514051467 37603113318 45959360722 68939041083 71028102934 75206226636 91918721444 106542154401 137878082166 142056205868 206817123249 213084308802 275756164332 319626463203 390654566137 413634246498 426168617604 639252926406 781309132274 827268492996 1171963698411 1278505852812 1562618264548 2343927396822 3515891095233 4687854793644 7031782190466 14063564380932