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78311544072 = 23317677936263
BaseRepresentation
bin100100011101110111…
…0110101010100001000
321111010122222121220020
41020323232311110020
52240340223402242
655550440100440
75441430066366
oct1107356652410
9244118877806
1078311544072
1130236909163
1213216464720
13750039ab78
143b0c81a636
15208514a6ec
hex123bbb5508

78311544072 has 128 divisors (see below), whose sum is σ = 213058252800. Its totient is φ = 23894627328.

The previous prime is 78311544067. The next prime is 78311544079. The reversal of 78311544072 is 27044511387.

It is a super-2 number, since 2×783115440722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78311544079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141413 + ... + 2177675.

It is an arithmetic number, because the mean of its divisors is an integer number (1664517600).

Almost surely, 278311544072 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 78311544072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106529126400).

78311544072 is an abundant number, since it is smaller than the sum of its proper divisors (134746708728).

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

78311544072 is a wasteful number, since it uses less digits than its factorization.

78311544072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36435 (or 36431 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 78311544072 in words is "seventy-eight billion, three hundred eleven million, five hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 79 102 134 136 158 201 204 237 268 316 402 408 474 536 632 804 948 1139 1343 1608 1896 2278 2686 3417 4029 4556 5293 5372 6834 8058 9112 10586 10744 13668 15879 16116 21172 27336 31758 32232 36263 42344 63516 72526 89981 108789 127032 145052 179962 217578 269943 290104 359924 435156 539886 616471 719848 870312 1079772 1232942 1849413 2159544 2429621 2465884 2864777 3698826 4859242 4931768 5729554 7288863 7397652 8594331 9718484 11459108 14577726 14795304 17188662 19436968 22918216 29155452 34377324 41303557 48701209 58310904 68754648 82607114 97402418 123910671 146103627 165214228 191940059 194804836 247821342 292207254 330428456 383880118 389609672 495642684 575820177 584414508 767760236 991285368 1151640354 1168829016 1535520472 2303280708 3262981003 4606561416 6525962006 9788943009 13051924012 19577886018 26103848024 39155772036 78311544072