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58029919236 = 223814872
BaseRepresentation
bin110110000010110110…
…100100110000000100
312112210012112100000000
4312002312210300010
51422321124403421
642354130321300
74123015114002
oct660266446004
9175705470000
1058029919236
1122679416243
12b2b6129230
13561a55a123
142b46d85a72
151799800226
hexd82da4c04

58029919236 has 81 divisors (see below), whose sum is σ = 152423302759. Its totient is φ = 19330298136.

The previous prime is 58029919193. The next prime is 58029919267. The reversal of 58029919236 is 63291992085.

It is a happy number.

The square root of 58029919236 is 240894.

It is a perfect power (a square), and thus also a powerful number.

58029919236 is a `hidden beast` number, since 580 + 29 + 9 + 1 + 9 + 2 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39024085 + ... + 39025571.

Almost surely, 258029919236 is an apocalyptic number.

58029919236 is the 240894-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58029919236

58029919236 is an abundant number, since it is smaller than the sum of its proper divisors (94393383523).

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

58029919236 is an frugal number, since it uses more digits than its factorization.

58029919236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 58029919236 in words is "fifty-eight billion, twenty-nine million, nine hundred nineteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1487 2187 2916 2974 4374 4461 5948 6561 8748 8922 13122 13383 17844 26244 26766 40149 53532 80298 120447 160596 240894 361341 481788 722682 1084023 1445364 2168046 2211169 3252069 4336092 4422338 6504138 6633507 8844676 9756207 13008276 13267014 19512414 19900521 26534028 39024828 39801042 59701563 79602084 119403126 179104689 238806252 358209378 537314067 716418756 1074628134 1611942201 2149256268 3223884402 4835826603 6447768804 9671653206 14507479809 19343306412 29014959618 58029919236