Search a number
-
+
58774921920 = 263451113101157
BaseRepresentation
bin110110101111010000…
…100010001011000000
312121201010101101120000
4312233100202023000
51430332340000140
643000102320000
74150332410331
oct665720421300
9177633341500
1058774921920
1122a20a02840
12b483729000
1357089c5110
142bb7cb6288
1517dee11a30
hexdaf4222c0

58774921920 has 1120 divisors, whose sum is σ = 249635808576. Its totient is φ = 12939264000.

The previous prime is 58774921897. The next prime is 58774921927. The reversal of 58774921920 is 2912947785.

58774921920 is a `hidden beast` number, since 58 + 77 + 492 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (58774921927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 374362482 + ... + 374362638.

Almost surely, 258774921920 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 58774921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124817904288).

58774921920 is an abundant number, since it is smaller than the sum of its proper divisors (190860886656).

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

58774921920 is a wasteful number, since it uses less digits than its factorization.

58774921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 58774921920 in words is "fifty-eight billion, seven hundred seventy-four million, nine hundred twenty-one thousand, nine hundred twenty".