Search a number
-
+
800245357056 = 293379732761
BaseRepresentation
bin10111010010100100101…
…01110001101000000000
32211111120110211011121000
423221102111301220000
5101102400302411211
61411343323132000
7111546553205505
oct13512225615000
92744513734530
10800245357056
11289422707122
1210b114674000
135a602a54972
142aa36b934ac
1515c39b0a656
hexba52571a00

800245357056 has 160 divisors (see below), whose sum is σ = 2398769683200. Its totient is φ = 263371530240.

The previous prime is 800245357019. The next prime is 800245357099. The reversal of 800245357056 is 650753542008.

800245357056 is a `hidden beast` number, since 8 + 0 + 0 + 24 + 5 + 3 + 570 + 56 = 666.

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, 725716 + ... + 1458476.

It is an arithmetic number, because the mean of its divisors is an integer number (14992310520).

Almost surely, 2800245357056 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 800245357056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199384841600).

800245357056 is an abundant number, since it is smaller than the sum of its proper divisors (1598524326144).

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

800245357056 is an equidigital number, since it uses as much as digits as its factorization.

800245357056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732867 (or 732845 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 800245357056 in words is "eight hundred billion, two hundred forty-five million, three hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1152 1264 1422 1536 1728 1896 2133 2304 2528 2844 3456 3792 4266 4608 5056 5688 6912 7584 8532 10112 11376 13824 15168 17064 20224 22752 30336 34128 40448 45504 60672 68256 91008 121344 136512 182016 273024 364032 546048 732761 1092096 1465522 2198283 2931044 4396566 5862088 6594849 8793132 11724176 13189698 17586264 19784547 23448352 26379396 35172528 39569094 46896704 52758792 57888119 70345056 79138188 93793408 105517584 115776238 140690112 158276376 173664357 187586816 211035168 231552476 281380224 316552752 347328714 375173632 422070336 463104952 520993071 562760448 633105504 694657428 844140672 926209904 1041986142 1125520896 1266211008 1389314856 1562979213 1688281344 1852419808 2083972284 2532422016 2778629712 3125958426 3376562688 3704839616 4167944568 5064844032 5557259424 6251916852 7409679232 8335889136 10129688064 11114518848 12503833704 14819358464 16671778272 22229037696 25007667408 29638716928 33343556544 44458075392 50015334816 66687113088 88916150784 100030669632 133374226176 200061339264 266748452352 400122678528 800245357056