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235152116772 = 223487112335831
BaseRepresentation
bin1101101100000000101…
…0001000110000100100
3211110222011012020102020
43123000022020300210
512323042420214042
6300005525543140
722663201004316
oct3330012106044
9743864166366
10235152116772
119080026a881
12396a7b74ab0
1319236c03381
14b54a8a77b6
1561b45513ec
hex36c0288c24

235152116772 has 48 divisors (see below), whose sum is σ = 550319895552. Its totient is φ = 78151249440.

The previous prime is 235152116761. The next prime is 235152116777. The reversal of 235152116772 is 277611251532.

It is a happy number.

235152116772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (235152116777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6544897 + ... + 6580727.

It is an arithmetic number, because the mean of its divisors is an integer number (11464997824).

Almost surely, 2235152116772 is an apocalyptic number.

It is an amenable number.

235152116772 is an abundant number, since it is smaller than the sum of its proper divisors (315167778780).

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

235152116772 is a wasteful number, since it uses less digits than its factorization.

235152116772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37448 (or 37446 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The spelling of 235152116772 in words is "two hundred thirty-five billion, one hundred fifty-two million, one hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 487 974 1123 1461 1948 2246 2922 3369 4492 5844 6738 13476 35831 71662 107493 143324 214986 429972 546901 1093802 1640703 2187604 3281406 6562812 17449697 34899394 40238213 52349091 69798788 80476426 104698182 120714639 160952852 209396364 241429278 482858556 19596009731 39192019462 58788029193 78384038924 117576058386 235152116772