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101436604984 = 231113419211619
BaseRepresentation
bin101111001111000010…
…1111100001000111000
3100200211021212102210201
41132132011330020320
53130220232324414
6114333242251544
710220456626141
oct1363605741070
9320737772721
10101436604984
113a023356750
12177aaab6bb4
139747336670
144ca3b80ac8
15298a410574
hex179e17c238

101436604984 has 64 divisors (see below), whose sum is σ = 223978608000. Its totient is φ = 42459035520.

The previous prime is 101436604949. The next prime is 101436604991. The reversal of 101436604984 is 489406634101.

101436604984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373527 + ... + 585145.

It is an arithmetic number, because the mean of its divisors is an integer number (3499665750).

Almost surely, 2101436604984 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 101436604984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111989304000).

101436604984 is an abundant number, since it is smaller than the sum of its proper divisors (122542003016).

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

101436604984 is a wasteful number, since it uses less digits than its factorization.

101436604984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212068 (or 212064 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 101436604984 in words is "one hundred one billion, four hundred thirty-six million, six hundred four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 419 572 838 1144 1676 3352 4609 5447 9218 10894 18436 21788 36872 43576 59917 119834 211619 239668 423238 479336 846476 1692952 2327809 2751047 4655618 5502094 9311236 11004188 18622472 22008376 30261517 60523034 88668361 121046068 177336722 242092136 354673444 709346888 975351971 1152688693 1950703942 2305377386 3901407884 4610754772 7802815768 9221509544 12679575623 25359151246 50718302492 101436604984