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11474926900 = 22521710316547
BaseRepresentation
bin10101010111111010…
…10111110100110100
31002121201002200110121
422223331113310310
5142000040130100
65134351301324
7554234161243
oct125375276464
932551080417
1011474926900
11495932a468
122282b1a844
13110b441198
147abdba95a
1547260351a
hex2abf57d34

11474926900 has 72 divisors (see below), whose sum is σ = 26394935616. Its totient is φ = 4315123200.

The previous prime is 11474926891. The next prime is 11474926901. The reversal of 11474926900 is 962947411.

It is a super-2 number, since 2×114749269002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11474926901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1749427 + ... + 1755973.

It is an arithmetic number, because the mean of its divisors is an integer number (366596328).

Almost surely, 211474926900 is an apocalyptic number.

11474926900 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 11474926900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197467808).

11474926900 is an abundant number, since it is smaller than the sum of its proper divisors (14920008716).

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

11474926900 is a wasteful number, since it uses less digits than its factorization.

11474926900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7602 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 11474926900 in words is "eleven billion, four hundred seventy-four million, nine hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1031 1700 2062 4124 5155 6547 10310 13094 17527 20620 25775 26188 32735 35054 51550 65470 70108 87635 103100 111299 130940 163675 175270 222598 327350 350540 438175 445196 556495 654700 876350 1112990 1752700 2225980 2782475 5564950 6749957 11129900 13499914 26999828 33749785 67499570 114749269 134999140 168748925 229498538 337497850 458997076 573746345 674995700 1147492690 2294985380 2868731725 5737463450 11474926900