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21419326992 = 2437315213947
BaseRepresentation
bin10011111100101100…
…001111111000010000
32001021202020112212010
4103330230033320100
5322331321430432
613501230302520
71355535163320
oct237454177020
961252215763
1021419326992
1190a1719438
124199357a40
1320347623ab
1410729c9280
1585567c3cc
hex4fcb0fe10

21419326992 has 160 divisors (see below), whose sum is σ = 65419812864. Its totient is φ = 5909529600.

The previous prime is 21419326861. The next prime is 21419327009. The reversal of 21419326992 is 29962391412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5424763 + ... + 5428709.

Almost surely, 221419326992 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 21419326992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709906432).

21419326992 is an abundant number, since it is smaller than the sum of its proper divisors (44000485872).

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

21419326992 is a wasteful number, since it uses less digits than its factorization.

21419326992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4511 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The spelling of 21419326992 in words is "twenty-one billion, four hundred nineteen million, three hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 521 651 744 868 1042 1302 1488 1563 1736 2084 2604 3126 3472 3647 3947 4168 5208 6252 7294 7894 8336 10416 10941 11841 12504 14588 15788 16151 21882 23682 25008 27629 29176 31576 32302 43764 47364 48453 55258 58352 63152 64604 82887 87528 94728 96906 110516 113057 122357 129208 165774 175056 189456 193812 221032 226114 244714 258416 331548 339171 367071 387624 442064 452228 489428 663096 678342 734142 775248 856499 904456 978856 1326192 1356684 1468284 1712998 1808912 1957712 2056387 2569497 2713368 2936568 3425996 4112774 5138994 5426736 5873136 6169161 6851992 8225548 10277988 12338322 13703984 14394709 16451096 20555976 24676644 28789418 32902192 41111952 43184127 49353288 57578836 63747997 86368254 98706576 115157672 127495994 172736508 191243991 230315344 254991988 345473016 382487982 446235979 509983976 690946032 764975964 892471958 1019967952 1338707937 1529951928 1784943916 2677415874 3059903856 3569887832 5354831748 7139775664 10709663496 21419326992