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19400779312 = 24192359131359
BaseRepresentation
bin10010000100011000…
…000110011000110000
31212002001222200222221
4102010120012120300
5304213044414222
612525042010424
71254524621545
oct220430063060
955061880887
1019400779312
118256263712
123915346a14
131aa24c2995
14d208a2bcc
157883540c7
hex484606630

19400779312 has 160 divisors (see below), whose sum is σ = 42425856000. Its totient is φ = 8551445760.

The previous prime is 19400779303. The next prime is 19400779327. The reversal of 19400779312 is 21397700491.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54040989 + ... + 54041347.

It is an arithmetic number, because the mean of its divisors is an integer number (265161600).

Almost surely, 219400779312 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 19400779312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928000).

19400779312 is an abundant number, since it is smaller than the sum of its proper divisors (23025076688).

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

19400779312 is a wasteful number, since it uses less digits than its factorization.

19400779312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 19400779312 in words is "nineteen billion, four hundred million, seven hundred seventy-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 23 38 46 59 76 92 118 131 152 184 236 262 304 359 368 437 472 524 718 874 944 1048 1121 1357 1436 1748 2096 2242 2489 2714 2872 3013 3496 4484 4978 5428 5744 6026 6821 6992 7729 8257 8968 9956 10856 12052 13642 15458 16514 17936 19912 21181 21712 24104 25783 27284 30916 33028 39824 42362 47029 48208 51566 54568 57247 61832 66056 84724 94058 103132 109136 114494 123664 132112 146851 156883 169448 177767 188116 206264 228988 293702 313766 338896 355534 376232 402439 412528 457976 487163 587404 627532 711068 752464 804878 893551 915952 974326 1081667 1174808 1255064 1422136 1609756 1787102 1948652 2163334 2349616 2510128 2774711 2844272 3219512 3377573 3574204 3897304 4326668 5549422 6439024 6755146 7148408 7794608 8653336 9256097 11098844 13510292 14296816 17306672 18512194 20551673 22197688 27020584 37024388 41103346 44395376 52719509 54041168 63818353 74048776 82206692 105439018 127636706 148097552 164413384 210878036 255273412 328826768 421756072 510546824 843512144 1021093648 1212548707 2425097414 4850194828 9700389656 19400779312