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102439663480 = 235711149223219
BaseRepresentation
bin101111101100111100…
…0010011011101111000
3100210102012022002101101
41133121320103131320
53134244023212410
6115020553301144
710254356526010
oct1373170233570
9323365262341
10102439663480
113a498579410
1217a2aa047b4
1398770a49bb
144d5b086c40
1529e84e7d3a
hex17d9e13778

102439663480 has 128 divisors (see below), whose sum is σ = 289293120000. Its totient is φ = 31714813440.

The previous prime is 102439663441. The next prime is 102439663483. The reversal of 102439663480 is 84366934201.

It is a self number, because there is not a number n which added to its sum of digits gives 102439663480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102439663483) 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, 347311 + ... + 570529.

It is an arithmetic number, because the mean of its divisors is an integer number (2260102500).

Almost surely, 2102439663480 is an apocalyptic number.

102439663480 is a gapful number since it is divisible by the number (10) 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 102439663480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144646560000).

102439663480 is an abundant number, since it is smaller than the sum of its proper divisors (186853456520).

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

102439663480 is a wasteful number, since it uses less digits than its factorization.

102439663480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223397 (or 223393 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 102439663480 in words is "one hundred two billion, four hundred thirty-nine million, six hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 149 154 220 280 298 308 385 440 596 616 745 770 1043 1192 1490 1540 1639 2086 2980 3080 3278 4172 5215 5960 6556 8195 8344 10430 11473 13112 16390 20860 22946 32780 41720 45892 57365 65560 91784 114730 223219 229460 446438 458920 892876 1116095 1562533 1785752 2232190 2455409 3125066 4464380 4910818 6250132 7812665 8928760 9821636 12277045 12500264 15625330 17187863 19643272 24554090 31250660 33259631 34375726 49108180 62501320 66519262 68751452 85939315 98216360 133038524 137502904 166298155 171878630 232817417 266077048 332596310 343757260 365855941 465634834 665192620 687514520 731711882 931269668 1164087085 1330385240 1463423764 1829279705 1862539336 2328174170 2560991587 2926847528 3658559410 4656348340 5121983174 7317118820 9312696680 10243966348 12804957935 14634237640 20487932696 25609915870 51219831740 102439663480