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90978441980644 = 22643274172
BaseRepresentation
bin10100101011111010010001…
…101101110110101011100100
3102221010110021001021211221001
4110223322101231312223210
543411042322121340034
6521254530321003044
725106655414214411
oct2453722155665344
9387113231254831
1090978441980644
1126a96816771029
12a254294183484
133b9c2cbb83aaa
141867546d5b108
15a7b8586bba14
hex52be91b76ae4

90978441980644 has 27 divisors (see below), whose sum is σ = 159481769254857. Its totient is φ = 45412352136864.

The previous prime is 90978441980627. The next prime is 90978441980651. The reversal of 90978441980644 is 44608914487909.

The square root of 90978441980644 is 9538262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74128139452900 + 16850302527744 = 8609770^2 + 4104912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12266201224 + ... + 12266208640.

Almost surely, 290978441980644 is an apocalyptic number.

90978441980644 is the 9538262-nd square number.

It is an amenable number.

90978441980644 is a deficient number, since it is larger than the sum of its proper divisors (68503327274213).

90978441980644 is an frugal number, since it uses more digits than its factorization.

90978441980644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16124 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 73.

The spelling of 90978441980644 in words is "ninety trillion, nine hundred seventy-eight billion, four hundred forty-one million, nine hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 4 643 1286 2572 7417 14834 29668 413449 826898 1653796 4769131 9538262 19076524 55011889 110023778 220047556 3066551233 6133102466 12266204932 35372644627 70745289254 141490578508 22744610495161 45489220990322 90978441980644