Search a number
-
+
51197901300 = 2232527134179193
BaseRepresentation
bin101111101011101000…
…011111100111110100
311220011001212212021200
4233223220133213310
51314323130320200
635304152412500
73461505660240
oct575350374764
9156131785250
1051197901300
111a792976027
129b0a0a7130
134a9bcaab70
142699875420
1514e9b18800
hexbeba1f9f4

51197901300 has 864 divisors, whose sum is σ = 205950151680. Its totient is φ = 10351411200.

The previous prime is 51197901283. The next prime is 51197901311. The reversal of 51197901300 is 310979115.

51197901300 is a `hidden beast` number, since 511 + 9 + 7 + 9 + 0 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 265274004 + ... + 265274196.

Almost surely, 251197901300 is an apocalyptic number.

51197901300 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 51197901300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102975075840).

51197901300 is an abundant number, since it is smaller than the sum of its proper divisors (154752250380).

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

51197901300 is a wasteful number, since it uses less digits than its factorization.

51197901300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The spelling of 51197901300 in words is "fifty-one billion, one hundred ninety-seven million, nine hundred one thousand, three hundred".