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2067470496 = 253271378887
BaseRepresentation
bin111101100111011…
…0001100010100000
312100002022101100100
41323032301202200
513213233023441
6541053022400
7102143131530
oct17316614240
95302271310
102067470496
11971040203
12498484a00
1326c43b730
1415881d4c0
15c178dcb6
hex7b3b18a0

2067470496 has 144 divisors (see below), whose sum is σ = 7236238464. Its totient is φ = 545260032.

The previous prime is 2067470479. The next prime is 2067470533. The reversal of 2067470496 is 6940747602.

2067470496 is a `hidden beast` number, since 20 + 6 + 74 + 70 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13236 + ... + 65651.

It is an arithmetic number, because the mean of its divisors is an integer number (50251656).

Almost surely, 22067470496 is an apocalyptic number.

2067470496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618119232).

2067470496 is an abundant number, since it is smaller than the sum of its proper divisors (5168767968).

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

2067470496 is a wasteful number, since it uses less digits than its factorization.

2067470496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78923 (or 78912 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2067470496 is about 45469.4457410688. The cubic root of 2067470496 is about 1273.9325672614.

The spelling of 2067470496 in words is "two billion, sixty-seven million, four hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 78887 157774 236661 315548 473322 552209 631096 709983 946644 1025531 1104418 1262192 1419966 1656627 1893288 2051062 2208836 2524384 2839932 3076593 3313254 3786576 4102124 4417672 4969881 5679864 6153186 6626508 7178717 7573152 8204248 8835344 9229779 9939762 11359728 12306372 13253016 14357434 16408496 17670688 18459558 19879524 21536151 22719456 24612744 26506032 28714868 32816992 36919116 39759048 43072302 49225488 53012064 57429736 64608453 73838232 79518096 86144604 98450976 114859472 129216906 147676464 159036192 172289208 229718944 258433812 295352928 344578416 516867624 689156832 1033735248 2067470496