Search a number
-
+
97427463640 = 23513238146109
BaseRepresentation
bin101101010111100100…
…0010001110111011000
3100022110212221221210021
41122233020101313120
53044012412314030
6112431344400224
710016225530333
oct1325710216730
9308425857707
1097427463640
11383562994a1
1216a70316074
139258864190
144a0352b61a
15280348197a
hex16af211dd8

97427463640 has 64 divisors (see below), whose sum is σ = 246338366400. Its totient is φ = 34409160192.

The previous prime is 97427463631. The next prime is 97427463671. The reversal of 97427463640 is 4636472479.

It is a super-2 number, since 2×974274636402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4061095 + ... + 4085014.

It is an arithmetic number, because the mean of its divisors is an integer number (3849036975).

Almost surely, 297427463640 is an apocalyptic number.

It is an amenable number.

97427463640 is an abundant number, since it is smaller than the sum of its proper divisors (148910902760).

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

97427463640 is a wasteful number, since it uses less digits than its factorization.

97427463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146156 (or 8146152 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 97427463640 in words is "ninety-seven billion, four hundred twenty-seven million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960 8146109 16292218 32584436 40730545 65168872 81461090 105899417 162922180 187360507 211798834 325844360 374721014 423597668 529497085 749442028 847195336 936802535 1058994170 1498884056 1873605070 2117988340 2435686591 3747210140 4235976680 4871373182 7494420280 9742746364 12178432955 19485492728 24356865910 48713731820 97427463640