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100045537074216 = 2335509101107571
BaseRepresentation
bin10110101111110110101010…
…101100101101110000101000
3111010020021000111100120200000
4112233312222230231300220
5101103121224442333331
6552440141340143000
730034023446655456
oct2657665254556050
9433207014316600
10100045537074216
112997208a551008
12b2795b3b37a60
1343a933b3c0086
141a9c3309279d6
15b8763244b0e6
hex5afdaab2dc28

100045537074216 has 96 divisors (see below), whose sum is σ = 281544144991200. Its totient is φ = 33282994322880.

The previous prime is 100045537074211. The next prime is 100045537074233. The reversal of 100045537074216 is 612470735540001.

100045537074216 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 553 + 7 + 0 + 74 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (100045537074211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49564290 + ... + 51543281.

It is an arithmetic number, because the mean of its divisors is an integer number (2932751510325).

Almost surely, 2100045537074216 is an apocalyptic number.

It is an amenable number.

100045537074216 is an abundant number, since it is smaller than the sum of its proper divisors (181498607916984).

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

100045537074216 is a wasteful number, since it uses less digits than its factorization.

100045537074216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101108101 (or 101108085 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 100045537074216 in words is "one hundred trillion, forty-five billion, five hundred thirty-seven million, seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 509 648 972 1018 1527 1944 2036 3054 4072 4581 6108 9162 12216 13743 18324 27486 36648 41229 54972 82458 109944 123687 164916 247374 329832 494748 989496 101107571 202215142 303322713 404430284 606645426 808860568 909968139 1213290852 1819936278 2426581704 2729904417 3639872556 5459808834 7279745112 8189713251 10919617668 16379426502 21839235336 24569139753 32758853004 49138279506 51463753639 65517706008 98276559012 102927507278 154391260917 196553118024 205855014556 308782521834 411710029112 463173782751 617565043668 926347565502 1235130087336 1389521348253 1852695131004 2779042696506 3705390262008 4168564044759 5558085393012 8337128089518 11116170786024 12505692134277 16674256179036 25011384268554 33348512358072 50022768537108 100045537074216