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90442955450 = 252171917332371
BaseRepresentation
bin101010000111011010…
…0011111101010111010
322122110010101011202202
41110032310133222322
52440211344033300
6105314322230202
76351155302601
oct1241664375272
9278403334682
1090442955450
11353a1766081
12156411b5362
1386b48236b3
14453da84a38
1525451c7ad5
hex150ed1faba

90442955450 has 96 divisors (see below), whose sum is σ = 188583733440. Its totient is φ = 32069606400.

The previous prime is 90442955443. The next prime is 90442955459. The reversal of 90442955450 is 5455924409.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90442955395 and 90442955404.

It is not an unprimeable number, because it can be changed into a prime (90442955459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2777765 + ... + 2810135.

It is an arithmetic number, because the mean of its divisors is an integer number (1964413890).

Almost surely, 290442955450 is an apocalyptic number.

90442955450 is an abundant number, since it is smaller than the sum of its proper divisors (98140777990).

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

90442955450 is a wasteful number, since it uses less digits than its factorization.

90442955450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32592 (or 32587 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 90442955450 in words is "ninety billion, four hundred forty-two million, nine hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 5 10 17 19 25 34 38 50 85 95 170 173 190 323 346 425 475 646 850 865 950 1615 1730 2941 3230 3287 4325 5882 6574 8075 8650 14705 16150 16435 29410 32371 32870 55879 64742 73525 82175 111758 147050 161855 164350 279395 323710 550307 558790 615049 809275 1100614 1230098 1396975 1618550 2751535 2793950 3075245 5503070 5600183 6150490 10455833 11200366 13757675 15376225 20911666 27515350 28000915 30752450 52279165 56001830 95203111 104558330 106403477 140004575 190406222 212806954 261395825 280009150 476015555 522791650 532017385 952031110 1064034770 1808859109 2380077775 2660086925 3617718218 4760155550 5320173850 9044295545 18088591090 45221477725 90442955450