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53186940100 = 22527311244313
BaseRepresentation
bin110001100010001100…
…000100110011000100
312002021200121111120101
4301202030010303010
51332411324040400
640233404413444
73562010350210
oct614214046304
9162250544511
1053186940100
1120613706348
12a384247284
1350280b7cb8
142807ab9940
1515b456356a
hexc62304cc4

53186940100 has 72 divisors (see below), whose sum is σ = 132328280448. Its totient is φ = 18176812800.

The previous prime is 53186940097. The next prime is 53186940101. The reversal of 53186940100 is 104968135.

It is a self number, because there is not a number n which added to its sum of digits gives 53186940100.

It is not an unprimeable number, because it can be changed into a prime (53186940101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95544 + ... + 339856.

It is an arithmetic number, because the mean of its divisors is an integer number (1837892784).

Almost surely, 253186940100 is an apocalyptic number.

53186940100 is a gapful number since it is divisible by the number (50) 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 53186940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66164140224).

53186940100 is an abundant number, since it is smaller than the sum of its proper divisors (79141340348).

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

53186940100 is a wasteful number, since it uses less digits than its factorization.

53186940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244645 (or 244638 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 53186940100 in words is "fifty-three billion, one hundred eighty-six million, nine hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 311 350 622 700 1244 1555 2177 3110 4354 6220 7775 8708 10885 15550 21770 31100 43540 54425 108850 217700 244313 488626 977252 1221565 1710191 2443130 3420382 4886260 6107825 6840764 8550955 12215650 17101910 24431300 34203820 42754775 75981343 85509550 151962686 171019100 303925372 379906715 531869401 759813430 1063738802 1519626860 1899533575 2127477604 2659347005 3799067150 5318694010 7598134300 10637388020 13296735025 26593470050 53186940100