Search a number
-
+
73062990336 = 2937193183139
BaseRepresentation
bin100010000001011100…
…1001100001000000000
320222120212220110201010
41010002321030020000
52144113111142321
653321545240520
75164366112430
oct1040271141000
9228525813633
1073062990336
1128a93176046
12121b0793140
136b74bb4c7b
1437717382c0
151d79498676
hex1102e4c200

73062990336 has 640 divisors, whose sum is σ = 246384230400. Its totient is φ = 18771886080.

The previous prime is 73062990307. The next prime is 73062990347. The reversal of 73062990336 is 63309926037.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525632955 + ... + 525633093.

It is an arithmetic number, because the mean of its divisors is an integer number (384975360).

Almost surely, 273062990336 is an apocalyptic number.

73062990336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73062990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123192115200).

73062990336 is an abundant number, since it is smaller than the sum of its proper divisors (173321240064).

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

73062990336 is a wasteful number, since it uses less digits than its factorization.

73062990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 48.

The spelling of 73062990336 in words is "seventy-three billion, sixty-two million, nine hundred ninety thousand, three hundred thirty-six".