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9010422784 = 210114601
BaseRepresentation
bin10000110010001000…
…00010010000000000
3212020221200220101101
420121010002100000
5121423132012114
64050032344144
7436200221116
oct103104022000
925227626341
109010422784
113904170000
1218b56a5054
13b0798c41c
14616969ab6
1537b089d74
hex219102400

9010422784 has 110 divisors (see below), whose sum is σ = 19846094870. Its totient is φ = 4088832000.

The previous prime is 9010422749. The next prime is 9010422787. The reversal of 9010422784 is 4872240109.

It can be written as a sum of positive squares in only one way, i.e., 8635613184 + 374809600 = 92928^2 + 19360^2 .

It is not an unprimeable number, because it can be changed into a prime (9010422787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14992084 + ... + 14992684.

Almost surely, 29010422784 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 9010422784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923047435).

9010422784 is an abundant number, since it is smaller than the sum of its proper divisors (10835672086).

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

9010422784 is an frugal number, since it uses more digits than its factorization.

9010422784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 9010422784 is about 94923.2468049845. The cubic root of 9010422784 is about 2080.8864860355.

The spelling of 9010422784 in words is "nine billion, ten million, four hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 601 704 968 1024 1202 1331 1408 1936 2404 2662 2816 3872 4808 5324 5632 6611 7744 9616 10648 11264 13222 14641 15488 19232 21296 26444 29282 30976 38464 42592 52888 58564 61952 72721 76928 85184 105776 117128 123904 145442 153856 170368 211552 234256 290884 307712 340736 423104 468512 581768 615424 681472 799931 846208 937024 1163536 1362944 1599862 1692416 1874048 2327072 3199724 3384832 3748096 4654144 6399448 6769664 7496192 8799241 9308288 12798896 14992384 17598482 18616576 25597792 35196964 37233152 51195584 70393928 74466304 102391168 140787856 204782336 281575712 409564672 563151424 819129344 1126302848 2252605696 4505211392 9010422784