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45233522532 = 223211378273733
BaseRepresentation
bin101010001000001000…
…001100011101100100
311022202101212000202100
4222020020030131210
51220114240210112
632440251212100
73160633411662
oct521010143544
9138671760670
1045233522532
1118202164a80
128924747030
13435b404863
142291699c32
15129b1ba2dc
hexa8820c764

45233522532 has 144 divisors (see below), whose sum is σ = 128295340992. Its totient is φ = 13316970240.

The previous prime is 45233522491. The next prime is 45233522533. The reversal of 45233522532 is 23522533254.

45233522532 is a `hidden beast` number, since 4 + 52 + 3 + 352 + 253 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45233522533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12115338 + ... + 12119070.

It is an arithmetic number, because the mean of its divisors is an integer number (890939868).

Almost surely, 245233522532 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 45233522532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64147670496).

45233522532 is an abundant number, since it is smaller than the sum of its proper divisors (83061818460).

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

45233522532 is a wasteful number, since it uses less digits than its factorization.

45233522532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4613 counting only the distinct ones).

The product of its digits is 216000, while the sum is 36.

It can be divided in two parts, 45233 and 522532, that added together give a palindrome (567765).

The spelling of 45233522532 in words is "forty-five billion, two hundred thirty-three million, five hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 827 1221 1332 1628 1654 2442 2481 3308 3663 3733 4884 4962 7326 7443 7466 9097 9924 11199 14652 14886 14932 18194 22398 27291 29772 30599 33597 36388 41063 44796 54582 61198 67194 81873 82126 91797 109164 122396 123189 134388 138121 163746 164252 183594 246378 275391 276242 327492 336589 367188 369567 414363 492756 550782 552484 673178 739134 828726 1009767 1101564 1243089 1346356 1478268 1519331 1657452 2019534 2486178 3029301 3038662 3087191 4039068 4557993 4972356 6058602 6077324 6174382 9115986 9261573 12117204 12348764 13673979 18231972 18523146 27347958 27784719 33959101 37046292 54695916 55569438 67918202 101877303 111138876 114226067 135836404 203754606 228452134 305631909 342678201 407509212 456904268 611263818 685356402 1028034603 1222527636 1256486737 1370712804 2056069206 2512973474 3769460211 4112138412 5025946948 7538920422 11308380633 15077840844 22616761266 45233522532