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116365623504 = 243137912718587
BaseRepresentation
bin110110001011111101…
…1101000000011010000
3102010100201110011012120
41230113323220003100
53401304044423004
6125242503054240
711256435323364
oct1542773500320
9363321404176
10116365623504
11453943a7289
121a676741380
13ac8625c230
1458bc7a92a4
153060da33d9
hex1b17ee80d0

116365623504 has 160 divisors (see below), whose sum is σ = 330432184320. Its totient is φ = 35071335936.

The previous prime is 116365623497. The next prime is 116365623529. The reversal of 116365623504 is 405326563611.

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, 6251299 + ... + 6269885.

It is an arithmetic number, because the mean of its divisors is an integer number (2065201152).

Almost surely, 2116365623504 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 116365623504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165216092160).

116365623504 is an abundant number, since it is smaller than the sum of its proper divisors (214066560816).

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

116365623504 is a wasteful number, since it uses less digits than its factorization.

116365623504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18817 (or 18811 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 116365623504 in words is "one hundred sixteen billion, three hundred sixty-five million, six hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 127 156 158 208 237 254 312 316 381 474 508 624 632 762 948 1016 1027 1264 1524 1651 1896 2032 2054 3048 3081 3302 3792 4108 4953 6096 6162 6604 8216 9906 10033 12324 13208 16432 18587 19812 20066 24648 26416 30099 37174 39624 40132 49296 55761 60198 74348 79248 80264 111522 120396 130429 148696 160528 223044 240792 241631 260858 297392 391287 446088 481584 483262 521716 724893 782574 892176 966524 1043432 1449786 1468373 1565148 1933048 2086864 2360549 2899572 2936746 3130296 3866096 4405119 4721098 5799144 5873492 6260592 7081647 8810238 9442196 11598288 11746984 14163294 17620476 18884392 19088849 23493968 28326588 30687137 35240952 37768784 38177698 56653176 57266547 61374274 70481904 76355396 92061411 113306352 114533094 122748548 152710792 184122822 186483371 229066188 245497096 305421584 368245644 372966742 458132376 490994192 559450113 736491288 745933484 916264752 1118900226 1472982576 1491866968 2237800452 2424283823 2983733936 4475600904 4848567646 7272851469 8951201808 9697135292 14545702938 19394270584 29091405876 38788541168 58182811752 116365623504