Search a number
-
+
58554038352 = 24359131157831
BaseRepresentation
bin110110100010000101…
…111011100001010000
312121010201202100021010
4312202011323201100
51424404313211402
642522132130520
74142011054035
oct664205734120
9177121670233
1058554038352
1122918256737
12b421766a40
1356a2008494
142b9681938c
1517ca82ea6c
hexda217b850

58554038352 has 80 divisors (see below), whose sum is σ = 155003650560. Its totient is φ = 19040611200.

The previous prime is 58554038351. The next prime is 58554038371. The reversal of 58554038352 is 25383045585.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58554038351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292077 + ... + 449907.

It is an arithmetic number, because the mean of its divisors is an integer number (1937545632).

Almost surely, 258554038352 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 58554038352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77501825280).

58554038352 is an abundant number, since it is smaller than the sum of its proper divisors (96449612208).

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

58554038352 is a wasteful number, since it uses less digits than its factorization.

58554038352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158032 (or 158026 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 58554038352 in words is "fifty-eight billion, five hundred fifty-four million, thirty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 131 177 236 262 354 393 472 524 708 786 944 1048 1416 1572 2096 2832 3144 6288 7729 15458 23187 30916 46374 61832 92748 123664 157831 185496 315662 370992 473493 631324 946986 1262648 1893972 2525296 3787944 7575888 9312029 18624058 20675861 27936087 37248116 41351722 55872174 62027583 74496232 82703444 111744348 124055166 148992464 165406888 223488696 248110332 330813776 446977392 496220664 992441328 1219875799 2439751598 3659627397 4879503196 7319254794 9759006392 14638509588 19518012784 29277019176 58554038352