Search a number
-
+
90577226640 = 2435428388117
BaseRepresentation
bin101010001011011010…
…0101100101110010000
322122210111000212012210
41110112310230232100
52441000232223030
6105335520152120
76354405503025
oct1242664545620
9278714025183
1090577226640
1135460534aaa
121567a168640
1387065a62c4
14455383754c
152551d9bbb0
hex1516d2cb90

90577226640 has 80 divisors (see below), whose sum is σ = 280858148928. Its totient is φ = 24148013568.

The previous prime is 90577226611. The next prime is 90577226687. The reversal of 90577226640 is 4662277509.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90577226640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983862 + ... + 1071978.

Almost surely, 290577226640 is an apocalyptic number.

It is an amenable number.

90577226640 is an abundant number, since it is smaller than the sum of its proper divisors (190280922288).

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

90577226640 is a wasteful number, since it uses less digits than its factorization.

90577226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92416 (or 92410 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 90577226640 in words is "ninety billion, five hundred seventy-seven million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4283 8566 12849 17132 21415 25698 34264 42830 51396 64245 68528 85660 88117 102792 128490 171320 176234 205584 256980 264351 342640 352468 440585 513960 528702 704936 881170 1027920 1057404 1321755 1409872 1762340 2114808 2643510 3524680 4229616 5287020 7049360 10574040 21148080 377405111 754810222 1132215333 1509620444 1887025555 2264430666 3019240888 3774051110 4528861332 5661076665 6038481776 7548102220 9057722664 11322153330 15096204440 18115445328 22644306660 30192408880 45288613320 90577226640