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69928240992 = 25323102131019
BaseRepresentation
bin100000100100000001…
…1000100011101100000
320200111102022201000120
41001020003010131200
52121203112202432
652042524520240
75023613145501
oct1011003043540
9220442281016
1069928240992
112772473a505
12116769b0080
1367956112bc
143555296ba8
151c44188c2c
hex10480c4760

69928240992 has 96 divisors (see below), whose sum is σ = 191736357120. Its totient is φ = 22273405440.

The previous prime is 69928240933. The next prime is 69928240999. The reversal of 69928240992 is 29904282996.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69928240999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2238859 + ... + 2269877.

It is an arithmetic number, because the mean of its divisors is an integer number (1997253720).

Almost surely, 269928240992 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 69928240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95868178560).

69928240992 is an abundant number, since it is smaller than the sum of its proper divisors (121808116128).

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

69928240992 is a wasteful number, since it uses less digits than its factorization.

69928240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32076 (or 32068 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 69928240992 in words is "sixty-nine billion, nine hundred twenty-eight million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1021 1104 2042 2208 3063 4084 6126 8168 12252 16336 23483 24504 31019 32672 46966 49008 62038 70449 93057 93932 98016 124076 140898 186114 187864 248152 281796 372228 375728 496304 563592 713437 744456 751456 992608 1127184 1426874 1488912 2140311 2254368 2853748 2977824 4280622 5707496 8561244 11414992 17122488 22829984 31670399 34244976 63340798 68489952 95011197 126681596 190022394 253363192 380044788 506726384 728419177 760089576 1013452768 1456838354 1520179152 2185257531 2913676708 3040358304 4370515062 5827353416 8741030124 11654706832 17482060248 23309413664 34964120496 69928240992