Search a number
-
+
97859935404 = 223371119896959
BaseRepresentation
bin101101100100011101…
…0000001110010101100
3100100121000201210112000
41123020322001302230
53100404120413104
6112542314012300
710033026504060
oct1331072016254
9310530653460
1097859935404
1138558422980
1216b71117090
1392c733482a
144a44b45aa0
15282b40b639
hex16c8e81cac

97859935404 has 384 divisors, whose sum is σ = 336752640000. Its totient is φ = 23806379520.

The previous prime is 97859935391. The next prime is 97859935421. The reversal of 97859935404 is 40453995879.

97859935404 is a `hidden beast` number, since 9 + 7 + 8 + 599 + 35 + 4 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 14058877 + ... + 14065835.

It is an arithmetic number, because the mean of its divisors is an integer number (876960000).

Almost surely, 297859935404 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 97859935404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320000).

97859935404 is an abundant number, since it is smaller than the sum of its proper divisors (238892704596).

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

97859935404 is a wasteful number, since it uses less digits than its factorization.

97859935404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 97859935404 in words is "ninety-seven billion, eight hundred fifty-nine million, nine hundred thirty-five thousand, four hundred four".