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30020557356 = 223231415091289
BaseRepresentation
bin11011111101010111…
…010101101000101100
32212111011222022202200
4123331113111220230
5442440230313411
621442524421500
72111636345556
oct337527255054
985434868680
1030020557356
1111805905089
1259999a7890
132aa571210a
14164b07a4d6
15baa839e56
hex6fd5d5a2c

30020557356 has 144 divisors (see below), whose sum is σ = 80463801600. Its totient is φ = 9421977600.

The previous prime is 30020557351. The next prime is 30020557367. The reversal of 30020557356 is 65375502003.

30020557356 is a `hidden beast` number, since 30 + 0 + 2 + 0 + 5 + 573 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30020557356.

It is not an unprimeable number, because it can be changed into a prime (30020557351) 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, 23289160 + ... + 23290448.

It is an arithmetic number, because the mean of its divisors is an integer number (558776400).

Almost surely, 230020557356 is an apocalyptic number.

30020557356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30020557356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40231900800).

30020557356 is an abundant number, since it is smaller than the sum of its proper divisors (50443244244).

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

30020557356 is a wasteful number, since it uses less digits than its factorization.

30020557356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 30020557356 in words is "thirty billion, twenty million, five hundred fifty-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 509 558 738 1018 1116 1271 1289 1476 1527 2036 2542 2578 3054 3813 3867 4581 5084 5156 6108 7626 7734 9162 11439 11601 15252 15468 15779 18324 20869 22878 23202 31558 39959 41738 45756 46404 47337 52849 62607 63116 79918 83476 94674 105698 119877 125214 142011 158547 159836 187821 189348 211396 239754 250428 284022 317094 359631 375642 475641 479508 568044 634188 646939 656101 719262 751284 951282 1293878 1312202 1438524 1638319 1902564 1940817 1968303 2587756 2624404 3276638 3881634 3936606 4914957 5822451 5904909 6553276 7763268 7873212 9829914 11644902 11809818 14744871 19659828 20339131 23289804 23619636 26900141 29489742 40678262 53800282 58979484 61017393 80700423 81356524 107600564 122034786 161400846 183052179 242101269 244069572 322801692 366104358 484202538 732208716 833904371 968405076 1667808742 2501713113 3335617484 5003426226 7505139339 10006852452 15010278678 30020557356