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505717012116 = 223347223446767
BaseRepresentation
bin1110101101111110001…
…01010011011010010100
31210100100021210000112000
413112333011103122110
531241202023341431
61024153450355300
751352065451221
oct7267705233224
91710307700460
10505717012116
111855230842a8
128201772bb30
13388c56c4194
141a69660a948
15d24c9bc9e6
hex75bf153694

505717012116 has 96 divisors (see below), whose sum is σ = 1345021870080. Its totient is φ = 164245478112.

The previous prime is 505717012049. The next prime is 505717012123. The reversal of 505717012116 is 611210717505.

It is a happy number.

505717012116 is a `hidden beast` number, since 5 + 0 + 571 + 70 + 1 + 2 + 1 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908565 + ... + 1355331.

It is an arithmetic number, because the mean of its divisors is an integer number (14010644480).

Almost surely, 2505717012116 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 505717012116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672510935040).

505717012116 is an abundant number, since it is smaller than the sum of its proper divisors (839304857964).

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

505717012116 is a wasteful number, since it uses less digits than its factorization.

505717012116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447050 (or 447042 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 505717012116 in words is "five hundred five billion, seven hundred seventeen million, twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 223 282 423 446 564 669 846 892 1269 1338 1692 2007 2538 2676 4014 5076 6021 8028 10481 12042 20962 24084 31443 41924 62886 94329 125772 188658 282987 377316 446767 565974 893534 1131948 1340301 1787068 2680602 4020903 5361204 8041806 12062709 16083612 20998049 24125418 41996098 48250836 62994147 83992196 99629041 125988294 188982441 199258082 251976588 298887123 377964882 398516164 566947323 597774246 755929764 896661369 1133894646 1195548492 1793322738 2267789292 2689984107 3586645476 4682564927 5379968214 9365129854 10759936428 14047694781 18730259708 28095389562 42143084343 56190779124 84286168686 126429253029 168572337372 252858506058 505717012116