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10162004405 = 57417229101
BaseRepresentation
bin10010111011011001…
…11110000110110101
3222020012121022101112
421131230332012311
5131302433120110
64400211004405
7506552420000
oct113554760665
928205538345
1010162004405
114345206353
121b77299705
13c5c430377
146c5894537
153e720e405
hex25db3e1b5

10162004405 has 120 divisors (see below), whose sum is σ = 15787892520. Its totient is φ = 6269491200.

The previous prime is 10162004389. The next prime is 10162004429. The reversal of 10162004405 is 50440026101.

It can be written as a sum of positive squares in 12 ways, for example, as 189585361 + 9972419044 = 13769^2 + 99862^2 .

It is not a de Polignac number, because 10162004405 - 24 = 10162004389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100613855 + ... + 100613955.

It is an arithmetic number, because the mean of its divisors is an integer number (131565771).

Almost surely, 210162004405 is an apocalyptic number.

It is an amenable number.

10162004405 is a deficient number, since it is larger than the sum of its proper divisors (5625888115).

10162004405 is an equidigital number, since it uses as much as digits as its factorization.

10162004405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 10162004405 in words is "ten billion, one hundred sixty-two million, four thousand, four hundred five".

Divisors: 1 5 7 17 29 35 49 85 101 119 145 203 245 289 343 493 505 595 707 833 1015 1421 1445 1715 1717 2023 2401 2465 2929 3451 3535 4165 4949 5831 7105 8381 8585 9947 10115 12005 12019 14161 14645 17255 20503 24157 24745 29155 29189 34643 40817 41905 49735 49793 58667 60095 69629 70805 84133 99127 102515 120785 143521 145945 169099 173215 204085 204323 242501 248965 293335 348145 348551 410669 420665 495635 588931 693889 717605 845495 846481 1004647 1021615 1183693 1212505 1430261 1742755 2053345 2439857 2874683 2944655 3469445 4122517 4232405 5023235 5918465 5925367 7032529 7151305 10011827 12199285 14373415 17078999 20122781 20612585 29626835 35162645 41477569 50059135 70082789 85394995 100613905 119552993 207387845 290342983 350413945 597764965 1451714915 2032400881 10162004405