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58853697952940 = 225116112973381281
BaseRepresentation
bin11010110000110111100011…
…10000101001110010101100
321201101100200101212001101122
431120123301300221302230
530203224333133443230
6325101003211200112
715253016333335142
oct1530336160516254
9251340611761348
1058853697952940
11178307931aa920
1267262a8446038
1326abb591bb447
141076769b09592
156c0dbe21bbe5
hex3586f1c29cac

58853697952940 has 96 divisors (see below), whose sum is σ = 137144473316928. Its totient is φ = 21034266624000.

The previous prime is 58853697952937. The next prime is 58853697952957. The reversal of 58853697952940 is 4925979635885.

58853697952940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15715100 + ... + 19096380.

It is an arithmetic number, because the mean of its divisors is an integer number (1428588263718).

Almost surely, 258853697952940 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 58853697952940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68572236658464).

58853697952940 is an abundant number, since it is smaller than the sum of its proper divisors (78290775363988).

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

58853697952940 is a wasteful number, since it uses less digits than its factorization.

58853697952940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382659 (or 3382657 counting only the distinct ones).

The product of its (nonzero) digits is 5878656000, while the sum is 80.

The spelling of 58853697952940 in words is "fifty-eight trillion, eight hundred fifty-three billion, six hundred ninety-seven million, nine hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1297 1342 2594 2684 3355 5188 6485 6710 12970 13420 14267 25940 28534 57068 71335 79117 142670 158234 285340 316468 395585 791170 870287 1582340 1740574 3381281 3481148 4351435 6762562 8702870 13525124 16906405 17405740 33812810 37194091 67625620 74388182 148776364 185970455 206258141 371940910 412516282 743881820 825032564 1031290705 2062581410 2268839551 4125162820 4385521457 4537679102 8771042914 9075358204 11344197755 17542085828 21927607285 22688395510 43855214570 45376791020 48240736027 87710429140 96481472054 192962944108 241203680135 267516808877 482407360270 535033617754 964814720540 1070067235508 1337584044385 2675168088770 2942684897647 5350336177540 5885369795294 11770739590588 14713424488235 29426848976470 58853697952940