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75020059434054 = 237431272931116319
BaseRepresentation
bin10001000011101011110111…
…111111100101110001000110
3100211121211212221002201122210
4101003223313333211301012
534313112040203342204
6423315423423204250
721542010002541210
oct2103536777456106
9324554787081583
1075020059434054
11219a3912866359
1284b7482146686
1332b2490885077
141474dc13655b0
158a169d2c3389
hex443af7fe5c46

75020059434054 has 128 divisors (see below), whose sum is σ = 177447512309760. Its totient is φ = 20700072215424.

The previous prime is 75020059433999. The next prime is 75020059434077. The reversal of 75020059434054 is 45043495002057.

It is a junction number, because it is equal to n+sod(n) for n = 75020059433994 and 75020059434012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66644907 + ... + 67761225.

It is an arithmetic number, because the mean of its divisors is an integer number (1386308689920).

Almost surely, 275020059434054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75020059434054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88723756154880).

75020059434054 is an abundant number, since it is smaller than the sum of its proper divisors (102427452875706).

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

75020059434054 is a wasteful number, since it uses less digits than its factorization.

75020059434054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116794.

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 75020059434054 in words is "seventy-five trillion, twenty billion, fifty-nine million, four hundred thirty-four thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 127 129 254 258 293 301 381 586 602 762 879 889 903 1758 1778 1806 2051 2667 4102 5334 5461 6153 10922 12306 12599 16383 25198 32766 37211 37797 38227 74422 75594 76454 88193 111633 114681 176386 223266 229362 260477 264579 520954 529158 781431 1116319 1562862 1600073 2232638 3200146 3348957 4800219 6697914 7814233 9600438 11200511 15628466 22401022 23442699 33601533 46885398 48001717 67203066 96003434 141772513 144005151 283545026 288010302 327081467 336012019 425317539 654162934 672024038 850635078 981244401 992407591 1008036057 1962488802 1984815182 2016072114 2289570269 2977222773 4579140538 5954445546 6096218059 6868710807 12192436118 13737421614 14064503081 18288654177 28129006162 36577308354 41539346309 42193509243 42673526413 83078692618 84387018486 85347052826 98451521567 124618038927 128020579239 196903043134 249236077854 256041158478 290775424163 295354564701 581550848326 590709129402 872326272489 1744652544978 1786191891287 3572383782574 5358575673861 10717151347722 12503343239009 25006686478018 37510029717027 75020059434054