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90601641623383 = 11179257967185153
BaseRepresentation
bin10100100110011011010110…
…101010100011111101010111
3102212210102200011221102212121
4110212123112222203331113
543333404130223422013
6520405453005400411
725040516066061652
oct2446332652437527
9385712604842777
1090601641623383
1126960a387976a0
12a1b3256569107
133b7290ca95407
1418531dddb4899
15a71b538bb58d
hex5266d6aa3f57

90601641623383 has 32 divisors (see below), whose sum is σ = 99880777244160. Its totient is φ = 81501481205760.

The previous prime is 90601641623371. The next prime is 90601641623417. The reversal of 90601641623383 is 38332614610609.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-90601641623383 is a prime.

It is a super-2 number, since 2×906016416233832 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90601641623383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90601641623323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489241335 + ... + 489426487.

It is an arithmetic number, because the mean of its divisors is an integer number (3121274288880).

Almost surely, 290601641623383 is an apocalyptic number.

90601641623383 is a deficient number, since it is larger than the sum of its proper divisors (9279135620777).

90601641623383 is a wasteful number, since it uses less digits than its factorization.

90601641623383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186567.

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 90601641623383 in words is "ninety trillion, six hundred one billion, six hundred forty-one million, six hundred twenty-three thousand, three hundred eighty-three".

Divisors: 1 11 179 257 967 1969 2827 10637 46003 173093 185153 248519 506033 1904023 2036683 2733709 33142387 44484901 47584321 179042951 364566257 489333911 523427531 1969472461 8517593459 32048688229 46014038407 93693528049 352535570519 506154422477 8236512874853 90601641623383