Search a number
-
+
97644512070 = 23357314759601
BaseRepresentation
bin101101011110000010…
…0010000001101000110
3100100001000101011021000
41122330010100031012
53044433443341240
6112505100434130
710024502441520
oct1327404201506
9310030334230
1097644512070
1138457866166
1216b10b48946
13929180a2c1
144a242aaa10
152817557430
hex16bc110346

97644512070 has 512 divisors, whose sum is σ = 319566643200. Its totient is φ = 20746368000.

The previous prime is 97644512057. The next prime is 97644512081. The reversal of 97644512070 is 7021544679.

97644512070 is a `hidden beast` number, since 9 + 7 + 64 + 4 + 512 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 162469770 + ... + 162470370.

It is an arithmetic number, because the mean of its divisors is an integer number (624153600).

Almost surely, 297644512070 is an apocalyptic number.

97644512070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97644512070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159783321600).

97644512070 is an abundant number, since it is smaller than the sum of its proper divisors (221922131130).

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

97644512070 is a wasteful number, since it uses less digits than its factorization.

97644512070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 97644512070 in words is "ninety-seven billion, six hundred forty-four million, five hundred twelve thousand, seventy".