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36350345104 = 2429536592243
BaseRepresentation
bin100001110110101001…
…100011111110010000
310110211022120212011221
4201312221203332100
51043421142020404
624411002014424
72424536556343
oct416651437620
9113738525157
1036350345104
1114463905327
1270657a7414
133573c08158
141a8b9b445a
15e2b3b7954
hex876a63f90

36350345104 has 80 divisors (see below), whose sum is σ = 74377828800. Its totient is φ = 17183548928.

The previous prime is 36350345093. The next prime is 36350345123. The reversal of 36350345104 is 40154305363.

36350345104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36350345104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16205007 + ... + 16207249.

It is an arithmetic number, because the mean of its divisors is an integer number (929722860).

Almost surely, 236350345104 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 36350345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37188914400).

36350345104 is an abundant number, since it is smaller than the sum of its proper divisors (38027483696).

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

36350345104 is a wasteful number, since it uses less digits than its factorization.

36350345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 36350345104 in words is "thirty-six billion, three hundred fifty million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 659 848 1318 1537 2243 2636 3074 4486 5272 6148 8972 10544 12296 17944 19111 24592 34927 35888 38222 65047 69854 76444 118879 130094 139708 152888 237758 260188 279416 305776 475516 520376 558832 951032 1012883 1040752 1478137 1902064 2025766 2956274 3447491 4051532 5912548 6894982 8103064 11825096 13789964 16206128 23650192 27579928 42865973 55159856 78341261 85731946 156682522 171463892 313365044 342927784 626730088 685855568 1253460176 2271896569 4543793138 9087586276 18175172552 36350345104