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20930649192 = 23323121132677
BaseRepresentation
bin10011011111100100…
…000101110001101000
32000000200201010221100
4103133210011301220
5320331221233232
613340532241400
71340452403565
oct233744056150
960020633840
1020930649192
118970895592
124081770260
131c8744292b
141027b3d86c
158277edc7c
hex4df905c68

20930649192 has 144 divisors (see below), whose sum is σ = 59115216420. Its totient is φ = 6689571840.

The previous prime is 20930649191. The next prime is 20930649277. The reversal of 20930649192 is 29194603902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13255837956 + 7674811236 = 115134^2 + 87606^2 .

It is not an unprimeable number, because it can be changed into a prime (20930649191) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7817358 + ... + 7820034.

Almost surely, 220930649192 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 20930649192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29557608210).

20930649192 is an abundant number, since it is smaller than the sum of its proper divisors (38184567228).

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

20930649192 is a wasteful number, since it uses less digits than its factorization.

20930649192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 20930649192 in words is "twenty billion, nine hundred thirty million, six hundred forty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 113 124 186 226 248 279 339 372 452 558 678 744 904 961 1017 1116 1356 1922 2034 2232 2677 2712 2883 3503 3844 4068 5354 5766 7006 7688 8031 8136 8649 10509 10708 11532 14012 16062 17298 21018 21416 23064 24093 28024 31527 32124 34596 42036 48186 63054 64248 69192 82987 84072 96372 108593 126108 165974 192744 217186 248961 252216 302501 325779 331948 434372 497922 605002 651558 663896 746883 868744 907503 977337 995844 1210004 1303116 1493766 1815006 1954674 1991688 2420008 2572597 2606232 2722509 2987532 3630012 3909348 5145194 5445018 5975064 7260024 7717791 7818696 9377531 10290388 10890036 15435582 18755062 20580776 21780072 23153373 28132593 30871164 37510124 46306746 56265186 61742328 75020248 84397779 92613492 112530372 168795558 185226984 225060744 290703461 337591116 581406922 675182232 872110383 1162813844 1744220766 2325627688 2616331149 3488441532 5232662298 6976883064 10465324596 20930649192