Search a number
-
+
85099458048 = 2931131162473
BaseRepresentation
bin100111101000001010…
…0101010111000000000
322010122201122101100120
41033100110222320000
52343240430124143
6103032200420240
76101562313143
oct1172024527000
9263581571316
1085099458048
11330aa475420
12145ab777680
138042777607
14419412a05a
15233101e383
hex13d052ae00

85099458048 has 160 divisors (see below), whose sum is σ = 255299945472. Its totient is φ = 24955699200.

The previous prime is 85099458029. The next prime is 85099458077. The reversal of 85099458048 is 84085499058.

It is a junction number, because it is equal to n+sod(n) for n = 85099457982 and 85099458000.

It is a congruent number.

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, 442540 + ... + 605012.

Almost surely, 285099458048 is an apocalyptic number.

85099458048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85099458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127649972736).

85099458048 is an abundant number, since it is smaller than the sum of its proper divisors (170200487424).

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

85099458048 is a wasteful number, since it uses less digits than its factorization.

85099458048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162536 (or 162520 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 85099458048 in words is "eighty-five billion, ninety-nine million, four hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 992 1023 1056 1364 1408 1488 1536 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5632 5952 7936 8184 8448 10912 11904 15872 16368 16896 21824 23808 32736 43648 47616 65472 87296 130944 162473 174592 261888 324946 487419 523776 649892 974838 1299784 1787203 1949676 2599568 3574406 3899352 5036663 5199136 5361609 7148812 7798704 10073326 10398272 10723218 14297624 15109989 15597408 20146652 20796544 21446436 28595248 30219978 31194816 40293304 41593088 42892872 55403293 57190496 60439956 62389632 80586608 83186176 85785744 110806586 114380992 120879912 124779264 161173216 166209879 171571488 221613172 228761984 241759824 249558528 322346432 332419758 343142976 443226344 457523968 483519648 644692864 664839516 686285952 886452688 915047936 967039296 1289385728 1329679032 1372571904 1772905376 1934078592 2578771456 2659358064 2745143808 3545810752 3868157184 5318716128 7091621504 7736314368 10637432256 14183243008 21274864512 28366486016 42549729024 85099458048