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5073022977435 = 335743523323857
BaseRepresentation
bin100100111010010011110…
…1110111000010110011011
3122221222100200201201202000
41021310213232320112123
51131104022340234220
614442303052212043
71032341144554110
oct111644756702633
918858320651660
105073022977435
111686503243296
1269b22916a023
132aa4cb8a985a
1413776da66907
158be63414390
hex49d27bb859b

5073022977435 has 128 divisors (see below), whose sum is σ = 10549251778560. Its totient is φ = 2264635957248.

The previous prime is 5073022977431. The next prime is 5073022977481. The reversal of 5073022977435 is 5347792203705.

It is a happy number.

5073022977435 is a `hidden beast` number, since 5 + 0 + 7 + 302 + 297 + 7 + 43 + 5 = 666.

It is not a de Polignac number, because 5073022977435 - 22 = 5073022977431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5073022977431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 212631027 + ... + 212654883.

It is an arithmetic number, because the mean of its divisors is an integer number (82416029520).

Almost surely, 25073022977435 is an apocalyptic number.

5073022977435 is an abundant number, since it is smaller than the sum of its proper divisors (5476228801125).

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

5073022977435 is a wasteful number, since it uses less digits than its factorization.

5073022977435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29154 (or 29148 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 5073022977435 in words is "five trillion, seventy-three billion, twenty-two million, nine hundred seventy-seven thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5233 5805 8127 13545 15699 23857 26165 36631 40635 47097 71571 78495 109893 119285 141291 166999 183155 214713 225019 235485 329679 357855 500997 549465 644139 675057 706455 834995 989037 1025851 1073565 1125095 1502991 1575133 1648395 2025171 2504985 3077553 3220695 3375285 4508973 4725399 4945185 5129255 6075513 7180957 7514955 7875665 9232659 10125855 14176197 15387765 21542871 22544865 23626995 27697977 30377565 35904785 42528591 46163295 64628613 70880985 107714355 124843681 138489885 193885839 212642955 323143065 374531043 624218405 873905767 969429195 1123593129 1872655215 2621717301 3370779387 4369528835 5368278283 5617965645 7865151903 13108586505 16104834849 16853896935 23595455709 26841391415 37577947981 39325759515 48314504547 80524174245 112733843943 117977278545 144943513641 187889739905 241572522735 338201531829 563669219715 724717568205 1014604595487 1691007659145 5073022977435