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520106545332 = 22321153131189169
BaseRepresentation
bin1111001000110001100…
…01000001000010110100
31211201111010020001012200
413210120301001002310
532010134233422312
61034533400144500
752401503456133
oct7443061010264
91751433201180
10520106545332
11190637649610
1284972768130
133a07991b48a
141b25d72191a
15d7e0de80dc
hex7918c410b4

520106545332 has 144 divisors (see below), whose sum is σ = 1472456905920. Its totient is φ = 153453081600.

The previous prime is 520106545313. The next prime is 520106545367. The reversal of 520106545332 is 233545601025.

520106545332 is a `hidden beast` number, since 5 + 2 + 0 + 106 + 545 + 3 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2654844 + ... + 2844012.

It is an arithmetic number, because the mean of its divisors is an integer number (10225395180).

Almost surely, 2520106545332 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 520106545332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736228452960).

520106545332 is an abundant number, since it is smaller than the sum of its proper divisors (952350360588).

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

520106545332 is a wasteful number, since it uses less digits than its factorization.

520106545332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189374 (or 189369 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 520106545332 in words is "five hundred twenty billion, one hundred six million, five hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 131 132 159 198 212 262 318 393 396 477 524 583 636 786 954 1166 1179 1441 1572 1749 1908 2332 2358 2882 3498 4323 4716 5247 5764 6943 6996 8646 10494 12969 13886 17292 20829 20988 25938 27772 41658 51876 62487 76373 83316 124974 152746 189169 229119 249948 305492 378338 458238 567507 687357 756676 916476 1135014 1374714 1702521 2080859 2270028 2749428 3405042 4161718 6242577 6810084 8323436 10025957 12485154 18727731 20051914 24781139 24970308 30077871 37455462 40103828 49562278 60155742 74343417 74910924 90233613 99124556 110285527 120311484 148686834 180467226 220571054 223030251 272592529 297373668 330856581 360934452 441142108 446060502 545185058 661713162 817777587 892121004 992569743 1090370116 1313400367 1323426324 1635555174 1985139486 2453332761 2626800734 3271110348 3940201101 3970278972 4906665522 5253601468 7880402202 9813331044 11820603303 14447404037 15760804404 23641206606 28894808074 43342212111 47282413212 57789616148 86684424222 130026636333 173368848444 260053272666 520106545332