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90072426200 = 23524710194873
BaseRepresentation
bin101001111100010111…
…1000010011011011000
322121111022011100012012
41103320233002123120
52433432020114300
6105213444405052
76336035663441
oct1237057023330
9277438140165
1090072426200
1135221599a59
12155590a6788
138655b30213
1445067922c8
1525228d6435
hex14f8bc26d8

90072426200 has 96 divisors (see below), whose sum is σ = 215993943360. Its totient is φ = 34912896000.

The previous prime is 90072426193. The next prime is 90072426203. The reversal of 90072426200 is 262427009.

It is a super-2 number, since 2×900724262002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90072426203) 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 23 ways as a sum of consecutive naturals, for example, 901964 + ... + 996836.

It is an arithmetic number, because the mean of its divisors is an integer number (2249936910).

Almost surely, 290072426200 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 90072426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107996971680).

90072426200 is an abundant number, since it is smaller than the sum of its proper divisors (125921517160).

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

90072426200 is a wasteful number, since it uses less digits than its factorization.

90072426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95037 (or 95028 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 90072426200 in words is "ninety billion, seventy-two million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 101 188 200 202 235 376 404 470 505 808 940 1010 1175 1880 2020 2350 2525 4040 4700 4747 5050 9400 9494 10100 18988 20200 23735 37976 47470 94873 94940 118675 189746 189880 237350 379492 474365 474700 758984 948730 949400 1897460 2371825 3794920 4459031 4743650 8918062 9487300 9582173 17836124 18974600 19164346 22295155 35672248 38328692 44590310 47910865 76657384 89180620 95821730 111475775 178361240 191643460 222951550 239554325 383286920 445903100 450362131 479108650 891806200 900724262 958217300 1801448524 1916434600 2251810655 3602897048 4503621310 9007242620 11259053275 18014485240 22518106550 45036213100 90072426200