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10607018268330 = 23251116076667181
BaseRepresentation
bin1001101001011010001110…
…0011100101011010101010
31101120000120100012021112200
42122112203203211122222
52342241133134041310
634320444045121030
72143221541446111
oct232264343453252
941500510167480
1010607018268330
11341a458319480
121233864b59176
135bc311b16b13
1428954d526c78
15135da5ed79c0
hex9a5a38e56aa

10607018268330 has 96 divisors (see below), whose sum is σ = 30104086866048. Its totient is φ = 2569797859200.

The previous prime is 10607018268289. The next prime is 10607018268373. The reversal of 10607018268330 is 3386281070601.

10607018268330 is a `hidden beast` number, since 1 + 0 + 607 + 0 + 1 + 8 + 2 + 6 + 8 + 3 + 30 = 666.

10607018268330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106070182683302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742661 + ... + 4924520.

It is an arithmetic number, because the mean of its divisors is an integer number (313584238188).

Almost surely, 210607018268330 is an apocalyptic number.

10607018268330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10607018268330 is an abundant number, since it is smaller than the sum of its proper divisors (19497068597718).

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

10607018268330 is a wasteful number, since it uses less digits than its factorization.

10607018268330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668812 (or 6668809 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10607018268330 in words is "ten trillion, six hundred seven billion, eighteen million, two hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1607 3214 4821 8035 9642 14463 16070 17677 24105 28926 35354 48210 53031 72315 88385 106062 144630 159093 176770 265155 318186 530310 795465 1590930 6667181 13334362 20001543 33335905 40003086 60004629 66671810 73338991 100007715 120009258 146677982 200015430 220016973 300023145 366694955 440033946 600046290 660050919 733389910 1100084865 1320101838 2200169730 3300254595 6600509190 10714159867 21428319734 32142479601 53570799335 64284959202 96427438803 107141598670 117855758537 160712398005 192854877606 235711517074 321424796010 353567275611 482137194015 589278792685 707134551222 964274388030 1060701826833 1178557585370 1767836378055 2121403653666 3535672756110 5303509134165 10607018268330