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26474130100 = 225211101238291
BaseRepresentation
bin11000101001111110…
…110010101010110100
32112100000202011011001
4120221332302222310
5413204334130400
620055000253044
71625024251525
oct305176625264
975300664131
1026474130100
1110255a57870
12516a171184
13265ba6b652
1413d207484c
15a4e30ba6a
hex629fb2ab4

26474130100 has 72 divisors (see below), whose sum is σ = 63292261536. Its totient is φ = 9531600000.

The previous prime is 26474130083. The next prime is 26474130103. The reversal of 26474130100 is 103147462.

It is a super-5 number, since 5×264741301005 (a number of 53 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26474130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8046 + ... + 230245.

It is an arithmetic number, because the mean of its divisors is an integer number (879059188).

Almost surely, 226474130100 is an apocalyptic number.

26474130100 is a gapful number since it is divisible by the number (20) 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 26474130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31646130768).

26474130100 is an abundant number, since it is smaller than the sum of its proper divisors (36818131436).

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

26474130100 is a wasteful number, since it uses less digits than its factorization.

26474130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238417 (or 238410 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 26474130100 its reverse (103147462), we get a palindrome (26577277562).

The spelling of 26474130100 in words is "twenty-six billion, four hundred seventy-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 238291 476582 953164 1191455 2382910 2621201 4765820 5242402 5957275 10484804 11914550 13106005 23829100 24067391 26212010 48134782 52424020 65530025 96269564 120336955 131060050 240673910 262120100 264741301 481347820 529482602 601684775 1058965204 1203369550 1323706505 2406739100 2647413010 5294826020 6618532525 13237065050 26474130100