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97855291044 = 223272196743577
BaseRepresentation
bin101101100100010100…
…0010011111010100100
3100100120200222211122200
41123020220103322210
53100401423303134
6112542030254500
710032642151500
oct1331050237244
9310520884580
1097855291044
1138555840565
1216b6b657430
1392c63998a4
144a44297300
15282ace0499
hex16c8a13ea4

97855291044 has 216 divisors, whose sum is σ = 307413156960. Its totient is φ = 26091217152.

The previous prime is 97855291031. The next prime is 97855291099. The reversal of 97855291044 is 44019255879.

It is a happy number.

97855291044 is a `hidden beast` number, since 9 + 7 + 8 + 5 + 529 + 104 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2223784 + ... + 2267360.

It is an arithmetic number, because the mean of its divisors is an integer number (1423209060).

Almost surely, 297855291044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97855291044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153706578480).

97855291044 is an abundant number, since it is smaller than the sum of its proper divisors (209557865916).

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

97855291044 is a wasteful number, since it uses less digits than its factorization.

97855291044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43687 (or 43675 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 97855291044 in words is "ninety-seven billion, eight hundred fifty-five million, two hundred ninety-one thousand, forty-four".