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45506356632 = 2334112580379
BaseRepresentation
bin101010011000011000…
…111110010110011000
311100110102020102210000
4222120120332112120
51221144111403012
632523315053000
73200455435452
oct523030762630
9140412212700
1045506356632
1118332174300
12899bba1160
1343a2ab0659
1422b99db2d2
1512b510eddc
hexa9863e598

45506356632 has 120 divisors (see below), whose sum is σ = 140100830100. Its totient is φ = 13789781280.

The previous prime is 45506356613. The next prime is 45506356639. The reversal of 45506356632 is 23665360554.

45506356632 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 6 + 3 + 5 + 6 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45506356639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 211782 + ... + 368597.

Almost surely, 245506356632 is an apocalyptic number.

It is an amenable number.

45506356632 is an abundant number, since it is smaller than the sum of its proper divisors (94594473468).

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

45506356632 is a wasteful number, since it uses less digits than its factorization.

45506356632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580419 (or 580395 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 45506356632 in words is "forty-five billion, five hundred six million, three hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 580379 1160758 1741137 2321516 3482274 4643032 5223411 6384169 6964548 10446822 12768338 13929096 15670233 19152507 20893644 25536676 31340466 38305014 41787288 47010699 51073352 57457521 62680932 70225859 76610028 94021398 114915042 125361864 140451718 153220056 172372563 188042796 210677577 229830084 280903436 344745126 376085592 421355154 459660168 517117689 561806872 632032731 689490252 842710308 1034235378 1264065462 1378980504 1685420616 1896098193 2068470756 2528130924 3792196386 4136941512 5056261848 5688294579 7584392772 11376589158 15168785544 22753178316 45506356632