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120942506394 = 232173122357173
BaseRepresentation
bin111000010100010111…
…1000011000110011010
3102120011200122220012200
41300220233003012122
53440142240201034
6131321001351030
711511032225313
oct1605057030632
9376150586180
10120942506394
114732298a126
121b533498476
13b535544368
145bd45a960a
15322cacba99
hex1c28bc319a

120942506394 has 96 divisors (see below), whose sum is σ = 287695908864. Its totient is φ = 36553489920.

The previous prime is 120942506359. The next prime is 120942506441. The reversal of 120942506394 is 493605249021.

120942506394 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 2 + 5 + 0 + 639 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086792 + ... + 2143964.

It is an arithmetic number, because the mean of its divisors is an integer number (2996832384).

Almost surely, 2120942506394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120942506394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143847954432).

120942506394 is an abundant number, since it is smaller than the sum of its proper divisors (166753402470).

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

120942506394 is a wasteful number, since it uses less digits than its factorization.

120942506394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57452 (or 57449 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 120942506394 in words is "one hundred twenty billion, nine hundred forty-two million, five hundred six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 223 279 306 446 527 558 669 1054 1338 1581 2007 3162 3791 4014 4743 6913 7582 9486 11373 13826 20739 22746 34119 41478 57173 62217 68238 114346 117521 124434 171519 235042 343038 352563 514557 705126 971941 1029114 1057689 1772363 1943882 2115378 2915823 3544726 5317089 5831646 8747469 10634178 12749579 15951267 17494938 25499158 30130171 31902534 38248737 60260342 76497474 90390513 114746211 180781026 216742843 229492422 271171539 395236949 433485686 542343078 650228529 790473898 1185710847 1300457058 1950685587 2371421694 3557132541 3901371174 6719028133 7114265082 13438056266 20157084399 40314168798 60471253197 120942506394