Search a number
-
+
52150683528 = 23322926992849
BaseRepresentation
bin110000100100011011…
…000100011110001000
311222121110201012210100
4300210123010132020
51323301033333103
635542510045400
73524225332056
oct604433043610
9158543635710
1052150683528
1120131779459
12a1351a9860
134bc14c5128
14274a2111d6
1515535be5a3
hexc246c4788

52150683528 has 96 divisors (see below), whose sum is σ = 146656575000. Its totient is φ = 16721553408.

The previous prime is 52150683479. The next prime is 52150683577. The reversal of 52150683528 is 82538605125.

52150683528 is a `hidden beast` number, since 52 + 15 + 0 + 68 + 3 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (52150683479) and next prime (52150683577).

It can be written as a sum of positive squares in 4 ways, for example, as 28089089604 + 24061593924 = 167598^2 + 155118^2 .

It is a super-2 number, since 2×521506835282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515248 + ... + 608096.

Almost surely, 252150683528 is an apocalyptic number.

52150683528 is a gapful number since it is divisible by the number (58) 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 52150683528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328287500).

52150683528 is an abundant number, since it is smaller than the sum of its proper divisors (94505891472).

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

52150683528 is a wasteful number, since it uses less digits than its factorization.

52150683528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93159 (or 93152 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 52150683528 in words is "fifty-two billion, one hundred fifty million, six hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 269 348 522 538 696 807 1044 1076 1614 2088 2152 2421 3228 4842 6456 7801 9684 15602 19368 23403 31204 46806 62408 70209 92849 93612 140418 185698 187224 278547 280836 371396 557094 561672 742792 835641 1114188 1671282 2228376 2692621 3342564 5385242 6685128 8077863 10770484 16155726 21540968 24233589 24976381 32311452 48467178 49952762 64622904 74929143 96934356 99905524 149858286 193868712 199811048 224787429 299716572 449574858 599433144 724315049 899149716 1448630098 1798299432 2172945147 2897260196 4345890294 5794520392 6518835441 8691780588 13037670882 17383561176 26075341764 52150683528