Search a number
-
+
96522695680 = 2105157120077
BaseRepresentation
bin101100111100100110…
…0110111010000000000
3100020010211110222110211
41121321030313100000
53040134302230210
6112201504203504
76654631243015
oct1317114672000
9306124428424
1096522695680
1137a315aa984
1216859309594
13914328b518
1449592cd70c
15279dd1238a
hex1679337400

96522695680 has 88 divisors (see below), whose sum is σ = 233018083368. Its totient is φ = 38362841088.

The previous prime is 96522695669. The next prime is 96522695743. The reversal of 96522695680 is 8659622569.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26623796224 + 69898899456 = 163168^2 + 264384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743802 + ... + 863878.

Almost surely, 296522695680 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 96522695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116509041684).

96522695680 is an abundant number, since it is smaller than the sum of its proper divisors (136495387688).

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

96522695680 is a wasteful number, since it uses less digits than its factorization.

96522695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120259 (or 120241 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 96522695680 in words is "ninety-six billion, five hundred twenty-two million, six hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1024 1256 1280 1570 2512 2560 3140 5024 5120 6280 10048 12560 20096 25120 40192 50240 80384 100480 120077 160768 200960 240154 401920 480308 600385 803840 960616 1200770 1921232 2401540 3842464 4803080 7684928 9606160 15369856 18852089 19212320 30739712 37704178 38424640 61479424 75408356 76849280 94260445 122958848 150816712 153698560 188520890 301633424 307397120 377041780 603266848 614794240 754083560 1206533696 1508167120 2413067392 3016334240 4826134784 6032668480 9652269568 12065336960 19304539136 24130673920 48261347840 96522695680