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61919500140 = 2233519231312003
BaseRepresentation
bin111001101010101100…
…001001011101101100
312220211021110111221000
4321222230021131230
52003302343001030
644240113440300
74321265032011
oct715254113554
9186737414830
1061919500140
1124294a41a13
1210000870090
135aba32a7a4
142dd5795708
151926013860
hexe6ab0976c

61919500140 has 384 divisors, whose sum is σ = 213315379200. Its totient is φ = 14841066240.

The previous prime is 61919500091. The next prime is 61919500187. The reversal of 61919500140 is 4100591916.

61919500140 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 9 + 500 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61919500095 and 61919500104.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 30912379 + ... + 30914381.

It is an arithmetic number, because the mean of its divisors is an integer number (555508800).

Almost surely, 261919500140 is an apocalyptic number.

61919500140 is a gapful number since it is divisible by the number (60) 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 61919500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106657689600).

61919500140 is an abundant number, since it is smaller than the sum of its proper divisors (151395879060).

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

61919500140 is a wasteful number, since it uses less digits than its factorization.

61919500140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 61919500140 in words is "sixty-one billion, nine hundred nineteen million, five hundred thousand, one hundred forty".