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6113454100 = 2252139748481
BaseRepresentation
bin1011011000110001…
…11110100000010100
3120210001112122102221
411230120332200110
5100010021012400
62450344312124
7304332334225
oct55430764024
916701478387
106113454100
112657981606
121227472644
13765740380
1441dd0324c
1525ba98c1a
hex16c63e814

6113454100 has 72 divisors (see below), whose sum is σ = 14434254968. Its totient is φ = 2233958400.

The previous prime is 6113454097. The next prime is 6113454143. The reversal of 6113454100 is 14543116.

It can be written as a sum of positive squares in 12 ways, for example, as 942981264 + 5170472836 = 30708^2 + 71906^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101860 + ... + 150340.

Almost surely, 26113454100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6113454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217127484).

6113454100 is an abundant number, since it is smaller than the sum of its proper divisors (8320800868).

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

6113454100 is a wasteful number, since it uses less digits than its factorization.

6113454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48605 (or 48598 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 6113454100 is about 78188.5803682354. The cubic root of 6113454100 is about 1828.5024726078.

Adding to 6113454100 its reverse (14543116), we get a palindrome (6127997216).

The spelling of 6113454100 in words is "six billion, one hundred thirteen million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 97 100 130 194 260 325 388 485 650 970 1261 1300 1940 2425 2522 4850 5044 6305 9700 12610 25220 31525 48481 63050 96962 126100 193924 242405 484810 630253 969620 1212025 1260506 2424050 2521012 3151265 4702657 4848100 6302530 9405314 12605060 15756325 18810628 23513285 31512650 47026570 61134541 63025300 94053140 117566425 122269082 235132850 244538164 305672705 470265700 611345410 1222690820 1528363525 3056727050 6113454100