Search a number
-
+
97449933936 = 24331245926633
BaseRepresentation
bin101101011000001110…
…1111111110001110000
3100022112110020120020110
41122300131333301300
53044034140341221
6112433510141320
710016620525365
oct1326035776160
9308473216213
1097449933936
1138367a46793
1216a77951840
139260400b04
144a064da46c
15280541e776
hex16b077fc70

97449933936 has 80 divisors (see below), whose sum is σ = 259981931520. Its totient is φ = 31421498880.

The previous prime is 97449933913. The next prime is 97449933943. The reversal of 97449933936 is 63933994479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3645676 + ... + 3672308.

It is an arithmetic number, because the mean of its divisors is an integer number (3249774144).

Almost surely, 297449933936 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 97449933936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129990965760).

97449933936 is an abundant number, since it is smaller than the sum of its proper divisors (162531997584).

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

97449933936 is a wasteful number, since it uses less digits than its factorization.

97449933936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29134 (or 29128 counting only the distinct ones).

The product of its digits is 119042784, while the sum is 66.

The spelling of 97449933936 in words is "ninety-seven billion, four hundred forty-nine million, nine hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2459 4918 7377 9836 14754 19672 26633 29508 39344 53266 59016 76229 79899 106532 118032 152458 159798 213064 228687 304916 319596 426128 457374 609832 639192 825623 914748 1219664 1278384 1651246 1829496 2476869 3302492 3658992 4953738 6604984 9907476 13209968 19814952 39629904 65490547 130981094 196471641 261962188 392943282 523924376 785886564 1047848752 1571773128 2030206957 3143546256 4060413914 6090620871 8120827828 12181241742 16241655656 24362483484 32483311312 48724966968 97449933936