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102474593880 = 23357352122453
BaseRepresentation
bin101111101101111110…
…1100011011001011000
3100210111122000201212220
41133123331203121120
53134331444001010
6115024242104040
710255262450631
oct1373375433130
9323448021786
10102474593880
113a50626710a
1217a3a64b020
1398813b4b89
144d6197a888
1529eb5e7970
hex17dbf63658

102474593880 has 128 divisors (see below), whose sum is σ = 312247120320. Its totient is φ = 26899292160.

The previous prime is 102474593797. The next prime is 102474593887. The reversal of 102474593880 is 88395474201.

It is a happy number.

102474593880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102474593887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4552734 + ... + 4575186.

Almost surely, 2102474593880 is an apocalyptic number.

102474593880 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 102474593880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156123560160).

102474593880 is an abundant number, since it is smaller than the sum of its proper divisors (209772526440).

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

102474593880 is a wasteful number, since it uses less digits than its factorization.

102474593880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23061 (or 23057 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 102474593880 in words is "one hundred two billion, four hundred seventy-four million, five hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 521 584 730 876 1042 1095 1460 1563 1752 2084 2190 2605 2920 3126 4168 4380 5210 6252 7815 8760 10420 12504 15630 20840 22453 31260 38033 44906 62520 67359 76066 89812 112265 114099 134718 152132 179624 190165 224530 228198 269436 304264 336795 380330 449060 456396 538872 570495 673590 760660 898120 912792 1140990 1347180 1521320 1639069 2281980 2694360 3278138 4563960 4917207 6556276 8195345 9834414 11698013 13112552 16390690 19668828 23396026 24586035 32781380 35094039 39337656 46792052 49172070 58490065 65562760 70188078 93584104 98344140 116980130 140376156 175470195 196688280 233960260 280752312 350940390 467920520 701880780 853954949 1403761560 1707909898 2561864847 3415819796 4269774745 5123729694 6831639592 8539549490 10247459388 12809324235 17079098980 20494918776 25618648470 34158197960 51237296940 102474593880