Search a number
-
+
90007197756 = 22372131950261
BaseRepresentation
bin101001111010011011…
…0001101100000111100
322121022202102101120220
41103310312031200330
52433313320312011
6105203154341340
76334314362160
oct1236466154074
9277282371526
1090007197756
1135198797953
121553b28a850
1386454724c8
1444dbc52ca0
15251bcee506
hex14f4d8d83c

90007197756 has 48 divisors (see below), whose sum is σ = 240035228160. Its totient is φ = 25714624320.

The previous prime is 90007197713. The next prime is 90007197757. The reversal of 90007197756 is 65779170009.

It is a junction number, because it is equal to n+sod(n) for n = 90007197699 and 90007197708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90007197757) 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 15 ways as a sum of consecutive naturals, for example, 1765666 + ... + 1815926.

It is an arithmetic number, because the mean of its divisors is an integer number (5000733920).

Almost surely, 290007197756 is an apocalyptic number.

It is an amenable number.

90007197756 is an abundant number, since it is smaller than the sum of its proper divisors (150028030404).

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

90007197756 is a wasteful number, since it uses less digits than its factorization.

90007197756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71594 (or 71592 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 51.

The spelling of 90007197756 in words is "ninety billion, seven million, one hundred ninety-seven thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 21319 42638 50261 63957 85276 100522 127914 149233 150783 201044 255828 298466 301566 351827 447699 596932 603132 703654 895398 1055481 1407308 1790796 2110962 4221924 1071514259 2143028518 3214542777 4286057036 6429085554 7500599813 12858171108 15001199626 22501799439 30002399252 45003598878 90007197756