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58149000376 = 23192967401491
BaseRepresentation
bin110110001001111100…
…110101010010111000
312120002111121021121121
4312021330311102320
51423042121003001
642414022515024
74125662230225
oct661174652270
9176074537547
1058149000376
112272a65a705
12b329b95a74
135639121a3c
142b58b0294c
1517a4ec36a1
hexd89f354b8

58149000376 has 128 divisors (see below), whose sum is σ = 121043808000. Its totient is φ = 26078976000.

The previous prime is 58149000373. The next prime is 58149000379. The reversal of 58149000376 is 67300094185.

It is an interprime number because it is at equal distance from previous prime (58149000373) and next prime (58149000379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58149000373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118429491 + ... + 118429981.

It is an arithmetic number, because the mean of its divisors is an integer number (945654750).

Almost surely, 258149000376 is an apocalyptic number.

58149000376 is the 196891-st pentagonal number.

It is an amenable number.

58149000376 is an abundant number, since it is smaller than the sum of its proper divisors (62894807624).

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

58149000376 is a wasteful number, since it uses less digits than its factorization.

58149000376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 58149000376 in words is "fifty-eight billion, one hundred forty-nine million, three hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 8 19 29 38 58 67 76 116 134 152 232 268 401 491 536 551 802 982 1102 1273 1604 1943 1964 2204 2546 3208 3886 3928 4408 5092 7619 7772 9329 10184 11629 14239 15238 15544 18658 23258 26867 28478 30476 32897 36917 37316 46516 53734 56956 60952 65794 73834 74632 93032 107468 113912 131588 147668 196891 214936 220951 263176 270541 295336 393782 441902 510473 541082 625043 779143 787564 883804 954013 1020946 1082164 1250086 1558286 1575128 1767608 1908026 2041892 2164328 2500172 3116572 3740929 3816052 4083784 5000344 5709839 6233144 7481858 7632104 11419678 13191697 14803717 14963716 18126247 22839356 26383394 29607434 29927432 36252494 45678712 52766788 59214868 72504988 105533576 108486941 118429736 145009976 216973882 250642243 382559213 433947764 501284486 765118426 867895528 1002568972 1530236852 2005137944 3060473704 7268625047 14537250094 29074500188 58149000376