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87774089144 = 23767197118751
BaseRepresentation
bin101000110111110111…
…1100100111110111000
322101120010102201110112
41101233233210332320
52414230131323034
6104153423203452
76225060306350
oct1215757447670
9271503381415
1087774089144
1134252204345
1215017446588
13837a91ac71
144369437b60
15243ac427ce
hex146fbe4fb8

87774089144 has 64 divisors (see below), whose sum is σ = 191865231360. Its totient is φ = 36867600000.

The previous prime is 87774089111. The next prime is 87774089153. The reversal of 87774089144 is 44198047778.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679769 + ... + 798519.

It is an arithmetic number, because the mean of its divisors is an integer number (2997894240).

Almost surely, 287774089144 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 87774089144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95932615680).

87774089144 is an abundant number, since it is smaller than the sum of its proper divisors (104091142216).

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

87774089144 is a wasteful number, since it uses less digits than its factorization.

87774089144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119028 (or 119024 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 59.

The spelling of 87774089144 in words is "eighty-seven billion, seven hundred seventy-four million, eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 197 268 394 469 536 788 938 1379 1576 1876 2758 3752 5516 11032 13199 26398 52796 92393 105592 118751 184786 237502 369572 475004 739144 831257 950008 1662514 3325028 6650056 7956317 15912634 23393947 31825268 46787894 55694219 63650536 93575788 111388438 163757629 187151576 222776876 327515258 445553752 655030516 1310061032 1567394449 3134788898 6269577796 10971761143 12539155592 21943522286 43887044572 87774089144