Search a number
-
+
19679028528 = 2432321375657
BaseRepresentation
bin10010010100111101…
…100010010100110000
31212210110120020011110
4102110331202110300
5310300312403103
613012421513320
71264443661005
oct222475422460
955713506143
1019679028528
118389331445
123992572840
131b180464a3
14d498138ac
157a29b8403
hex494f62530

19679028528 has 120 divisors (see below), whose sum is σ = 53541291888. Its totient is φ = 6227572736.

The previous prime is 19679028511. The next prime is 19679028529. The reversal of 19679028528 is 82582097691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19679028529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3475876 + ... + 3481532.

Almost surely, 219679028528 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 19679028528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26770645944).

19679028528 is an abundant number, since it is smaller than the sum of its proper divisors (33862263360).

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

19679028528 is a wasteful number, since it uses less digits than its factorization.

19679028528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 19679028528 in words is "nineteen billion, six hundred seventy-nine million, twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 137 138 184 274 276 368 411 529 548 552 822 1058 1096 1104 1587 1644 2116 2192 3151 3174 3288 4232 5657 6302 6348 6576 8464 9453 11314 12604 12696 16971 18906 22628 25208 25392 33942 37812 45256 50416 67884 72473 75624 90512 130111 135768 144946 151248 217419 260222 271536 289892 390333 434838 520444 579784 775009 780666 869676 1040888 1159568 1550018 1561332 1739352 2081776 2325027 2992553 3100036 3122664 3478704 4650054 5985106 6200072 6245328 8977659 9300108 11970212 12400144 17825207 17955318 18600216 23940424 35650414 35910636 37200432 47880848 53475621 71300828 71821272 106951242 142601656 143642544 213902484 285203312 409979761 427804968 819959522 855609936 1229939283 1639919044 2459878566 3279838088 4919757132 6559676176 9839514264 19679028528