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20962293216 = 2536717091907
BaseRepresentation
bin10011100001011100…
…110011010111100000
32000002220020211101020
4103201130303113200
5320412321340331
613344022405440
71341315360324
oct234134632740
960086224336
1020962293216
118987739177
124090290880
131c90b71cc7
14102c019984
1582a49ec96
hex4e17335e0

20962293216 has 96 divisors (see below), whose sum is σ = 55909284480. Its totient is φ = 6875506176.

The previous prime is 20962293199. The next prime is 20962293223. The reversal of 20962293216 is 61239226902.

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

It is a super-3 number, since 3×209622932163 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10991335 + ... + 10993241.

It is an arithmetic number, because the mean of its divisors is an integer number (582388380).

Almost surely, 220962293216 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 20962293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27954642240).

20962293216 is an abundant number, since it is smaller than the sum of its proper divisors (34946991264).

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

20962293216 is a wasteful number, since it uses less digits than its factorization.

20962293216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 20962293216 in words is "twenty billion, nine hundred sixty-two million, two hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1709 1907 2144 3216 3418 3814 5127 5721 6432 6836 7628 10254 11442 13672 15256 20508 22884 27344 30512 41016 45768 54688 61024 82032 91536 114503 127769 164064 183072 229006 255538 343509 383307 458012 511076 687018 766614 916024 1022152 1374036 1533228 1832048 2044304 2748072 3066456 3259063 3664096 4088608 5496144 6132912 6518126 9777189 10992288 12265824 13036252 19554378 26072504 39108756 52145008 78217512 104290016 156435024 218357221 312870048 436714442 655071663 873428884 1310143326 1746857768 2620286652 3493715536 5240573304 6987431072 10481146608 20962293216