Search a number
-
+
235153672080 = 24351039512689
BaseRepresentation
bin1101101100000001000…
…0000100011110010000
3211110222021010020220020
43123000100010132100
512323043320001310
6300010023143440
722663220142615
oct3330020043620
9743867106806
10235153672080
1190801132358
12396a85a4b80
1319237329282
14b54ab9050c
1561b475c170
hex36c0404790

235153672080 has 80 divisors (see below), whose sum is σ = 736053901440. Its totient is φ = 62098827264.

The previous prime is 235153672073. The next prime is 235153672109. The reversal of 235153672080 is 80276351532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 4731625 + ... + 4781064.

It is an arithmetic number, because the mean of its divisors is an integer number (9200673768).

Almost surely, 2235153672080 is an apocalyptic number.

235153672080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235153672080 is an abundant number, since it is smaller than the sum of its proper divisors (500900229360).

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

235153672080 is a wasteful number, since it uses less digits than its factorization.

235153672080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512808 (or 9512802 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 235153672080 in words is "two hundred thirty-five billion, one hundred fifty-three million, six hundred seventy-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 9512689 19025378 28538067 38050756 47563445 57076134 76101512 95126890 114152268 142690335 152203024 190253780 228304536 285380670 380507560 456609072 570761340 761015120 979806967 1141522680 1959613934 2283045360 2939420901 3919227868 4899034835 5878841802 7838455736 9798069670 11757683604 14697104505 15676911472 19596139340 23515367208 29394209010 39192278680 47030734416 58788418020 78384557360 117576836040 235153672080