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5010657795 = 3251121371997
BaseRepresentation
bin1001010101010100…
…01001001000000011
3110221012102210022100
410222222021020003
540230212022140
62145111441443
7235111613523
oct45252111003
913835383270
105010657795
112141427400
12b7a086283
1361b120990
14357677683
151e4d5e530
hex12aa89203

5010657795 has 144 divisors (see below), whose sum is σ = 10436078016. Its totient is φ = 2208729600.

The previous prime is 5010657781. The next prime is 5010657803. The reversal of 5010657795 is 5977560105.

It is a happy number.

5010657795 is a `hidden beast` number, since 501 + 0 + 6 + 57 + 7 + 95 = 666.

5010657795 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 707862-1.

It is not a de Polignac number, because 5010657795 - 25 = 5010657763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5010657795.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5025237 + ... + 5026233.

It is an arithmetic number, because the mean of its divisors is an integer number (72472764).

Almost surely, 25010657795 is an apocalyptic number.

5010657795 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5010657795 is an abundant number, since it is smaller than the sum of its proper divisors (5425420221).

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

5010657795 is a wasteful number, since it uses less digits than its factorization.

5010657795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 5010657795 is about 70785.9999929365. Note that the first 5 decimals coincide. The cubic root of 5010657795 is about 1711.1900559760.

The spelling of 5010657795 in words is "five billion, ten million, six hundred fifty-seven thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 71 99 117 121 143 165 195 213 355 363 429 495 585 605 639 715 781 923 997 1065 1089 1287 1573 1815 2145 2343 2769 2991 3195 3905 4615 4719 4985 5445 6435 7029 7865 8307 8591 8973 10153 10967 11715 12961 13845 14157 14955 23595 25773 30459 32901 35145 38883 41535 42955 44865 50765 54835 64805 70785 70787 77319 91377 98703 111683 116649 120637 128865 142571 152295 164505 194415 212361 335049 353935 361911 386595 427713 456885 493515 558415 583245 603185 637083 712855 778657 920231 1005147 1061805 1085733 1283139 1568281 1675245 1809555 2138565 2335971 2760693 3185415 3893285 4601155 4704843 5025735 5428665 6415695 7007913 7841405 8282079 8565227 10122541 11679855 13803465 14114529 23524215 25695681 30367623 35039565 41410395 42826135 50612705 70572645 77087043 91102869 111347951 128478405 151838115 334043853 385435215 455514345 556739755 1002131559 1670219265 5010657795