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4922275501 = 11133761101151
BaseRepresentation
bin1001001010110001…
…11111011010101101
3110201001010111121001
410211120333122231
540040100304001
62132233240301
7232656436303
oct44530773255
913631114531
104922275501
1120a6550490
12b54563091
13605a17170
14349a2c273
151dc202001
hex12563f6ad

4922275501 has 64 divisors (see below), whose sum is σ = 6136607232. Its totient is φ = 3888000000.

The previous prime is 4922275493. The next prime is 4922275543. The reversal of 4922275501 is 1055722294.

It is a 5-Lehmer number, since φ(4922275501) divides (4922275501-1)5.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 4922275501 - 23 = 4922275493 is a prime.

It is a super-2 number, since 2×49222755012 = 48457592215489602002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R4922275500.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4922275601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32597776 + ... + 32597926.

It is an arithmetic number, because the mean of its divisors is an integer number (95884488).

It is a Poulet number, since it divides 24922275500-1.

Almost surely, 24922275501 is an apocalyptic number.

It is an amenable number.

4922275501 is a deficient number, since it is larger than the sum of its proper divisors (1214331731).

4922275501 is a wasteful number, since it uses less digits than its factorization.

4922275501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 4922275501 is about 70158.9303011384. The cubic root of 4922275501 is about 1701.0691660768.

Adding to 4922275501 its reverse (1055722294), we get a palindrome (5977997795).

The spelling of 4922275501 in words is "four billion, nine hundred twenty-two million, two hundred seventy-five thousand, five hundred one".

Divisors: 1 11 13 37 61 101 143 151 407 481 671 793 1111 1313 1661 1963 2257 3737 5291 5587 6161 8723 9211 14443 15251 21593 24827 29341 41107 48581 61457 67771 72631 80093 101321 119743 167761 198263 227957 322751 340807 534391 564287 798941 881023 930311 1317173 2180893 2507527 2963441 3748877 4430491 6207157 7335731 10233421 12094043 32597851 34421507 48735401 80693041 133034473 378636577 447479591 4922275501