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90747377408 = 281747487911
BaseRepresentation
bin101010010000011110…
…1110001011100000000
322200020100012102012002
41110200331301130000
52441322312034113
6105404435123132
76361542660302
oct1244075613400
9280210172162
1090747377408
113553858a876
12157071434a8
13873290c12c
14456c289972
152561cabc58
hex1520f71700

90747377408 has 144 divisors (see below), whose sum is σ = 196494004224. Its totient is φ = 41664430080.

The previous prime is 90747377401. The next prime is 90747377411. The reversal of 90747377408 is 80477374709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90747377401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99612473 + ... + 99613383.

It is an arithmetic number, because the mean of its divisors is an integer number (1364541696).

Almost surely, 290747377408 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 90747377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98247002112).

90747377408 is an abundant number, since it is smaller than the sum of its proper divisors (105746626816).

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

90747377408 is a wasteful number, since it uses less digits than its factorization.

90747377408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 56.

The spelling of 90747377408 in words is "ninety billion, seven hundred forty-seven million, three hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 487 544 752 799 911 974 1088 1504 1598 1822 1948 2176 3008 3196 3644 3896 4352 6016 6392 7288 7792 8279 12032 12784 14576 15487 15584 16558 22889 25568 29152 30974 31168 33116 42817 45778 51136 58304 61948 62336 66232 85634 91556 102272 116608 123896 124672 132464 171268 183112 204544 233216 247792 264928 342536 366224 389113 443657 495584 529856 685072 727889 732448 778226 887314 991168 1059712 1370144 1455778 1464896 1556452 1774628 1982336 2119424 2740288 2911556 2929792 3112904 3549256 3964672 5480576 5823112 5859584 6225808 7098512 7542169 10961152 11646224 12451616 14197024 15084338 20851879 23292448 24903232 28394048 30168676 41703758 46584896 49806464 56788096 60337352 83407516 93169792 99612928 113576192 120674704 166815032 186339584 241349408 333630064 354481943 482698816 667260128 708963886 965397632 1334520256 1417927772 1930795264 2669040512 2835855544 5338081024 5671711088 11343422176 22686844352 45373688704 90747377408