Search a number
-
+
58308775740 = 223255328121751
BaseRepresentation
bin110110010011011110…
…010100111100111100
312120111122020201012200
4312103132110330330
51423404021310430
642441531231500
74132642262505
oct662336247474
9176448221180
1058308775740
1122801869266
12b3735a8590
135663264187
142b72013bac
1517b4034460
hexd93794f3c

58308775740 has 144 divisors (see below), whose sum is σ = 180856742976. Its totient is φ = 15200640000.

The previous prime is 58308775717. The next prime is 58308775741. The reversal of 58308775740 is 4757780385.

58308775740 is a `hidden beast` number, since 583 + 0 + 8 + 7 + 7 + 57 + 4 + 0 = 666.

It is a super-2 number, since 2×583087757402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58308775741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669865 + ... + 2691615.

It is an arithmetic number, because the mean of its divisors is an integer number (1255949604).

Almost surely, 258308775740 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 58308775740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90428371488).

58308775740 is an abundant number, since it is smaller than the sum of its proper divisors (122547967236).

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

58308775740 is a wasteful number, since it uses less digits than its factorization.

58308775740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100 (or 22095 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 58308775740 in words is "fifty-eight billion, three hundred eight million, seven hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 281 318 477 530 562 636 795 843 954 1060 1124 1405 1590 1686 1908 2385 2529 2810 3180 3372 4215 4770 5058 5620 8430 9540 10116 12645 14893 16860 21751 25290 29786 43502 44679 50580 59572 65253 74465 87004 89358 108755 130506 134037 148930 178716 195759 217510 223395 261012 268074 297860 326265 391518 435020 446790 536148 652530 670185 783036 893580 978795 1152803 1305060 1340370 1957590 2305606 2680740 3458409 3915180 4611212 5764015 6112031 6916818 10375227 11528030 12224062 13833636 17292045 18336093 20750454 23056060 24448124 30560155 34584090 36672186 41500908 51876135 55008279 61120310 69168180 73344372 91680465 103752270 110016558 122240620 183360930 207504540 220033116 275041395 323937643 366721860 550082790 647875286 971812929 1100165580 1295750572 1619688215 1943625858 2915438787 3239376430 3887251716 4859064645 5830877574 6478752860 9718129290 11661755148 14577193935 19436258580 29154387870 58308775740