Search a number
-
+
235152353046300 = 2235215122932263847
BaseRepresentation
bin110101011101111010101100…
…011110001010111100011100
31010211121100022210120121001020
4311131322230132022330130
5221310214004334440200
62152043255531444140
7100350124344214554
oct6535725436127434
91124540283517036
10235152353046300
1168a21609981578
122245a1272b6650
13a129a0569a811
14420d612824164
151c2bcbba17ea0
hexd5deac78af1c

235152353046300 has 144 divisors (see below), whose sum is σ = 685178916076032. Its totient is φ = 62264820384000.

The previous prime is 235152353046263. The next prime is 235152353046313. The reversal of 235152353046300 is 3640353251532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102740977 + ... + 105004823.

Almost surely, 2235152353046300 is an apocalyptic number.

235152353046300 is a gapful number since it is divisible by the number (20) 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 235152353046300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342589458038016).

235152353046300 is an abundant number, since it is smaller than the sum of its proper divisors (450026563029732).

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

235152353046300 is a wasteful number, since it uses less digits than its factorization.

235152353046300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266308 (or 2266301 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 235152353046300 in words is "two hundred thirty-five trillion, one hundred fifty-two billion, three hundred fifty-three million, forty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 2293 3020 3775 4530 4586 6879 7550 9060 9172 11325 11465 13758 15100 22650 22930 27516 34395 45300 45860 57325 68790 114650 137580 171975 229300 343950 346243 687900 692486 1038729 1384972 1731215 2077458 2263847 3462430 4154916 4527694 5193645 6791541 6924860 8656075 9055388 10387290 11319235 13583082 17312150 20774580 22638470 25968225 27166164 33957705 34624300 45276940 51936450 56596175 67915410 103872900 113192350 135830820 169788525 226384700 339577050 341840897 679154100 683681794 1025522691 1367363588 1709204485 2051045382 3418408970 4102090764 5127613455 5191001171 6836817940 8546022425 10255226910 10382002342 15573003513 17092044850 20510453820 20764004684 25638067275 25955005855 31146007026 34184089700 51276134550 51910011710 62292014052 77865017565 102552269100 103820023420 129775029275 155730035130 259550058550 311460070260 389325087825 519100117100 778650175650 783841176821 1557300351300 1567682353642 2351523530463 3135364707284 3919205884105 4703047060926 7838411768210 9406094121852 11757617652315 15676823536420 19596029420525 23515235304630 39192058841050 47030470609260 58788088261575 78384117682100 117576176523150 235152353046300