Search a number
-
+
20081773432 = 23723411632333
BaseRepresentation
bin10010101100111101…
…111000101101111000
31220211112101210022101
4102230331320231320
5312111413222212
613120410033144
71310434154260
oct225475705570
956745353271
1020081773432
118575701676
123a854187b4
131b80609296
14d870d07a0
157c8020157
hex4acf78b78

20081773432 has 128 divisors (see below), whose sum is σ = 46300584960. Its totient is φ = 7978798080.

The previous prime is 20081773399. The next prime is 20081773489. The reversal of 20081773432 is 23437718002.

It is a junction number, because it is equal to n+sod(n) for n = 20081773391 and 20081773400.

It is a congruent number.

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, 8606538 + ... + 8608870.

It is an arithmetic number, because the mean of its divisors is an integer number (361723320).

Almost surely, 220081773432 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 20081773432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23150292480).

20081773432 is an abundant number, since it is smaller than the sum of its proper divisors (26218811528).

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

20081773432 is a wasteful number, since it uses less digits than its factorization.

20081773432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 20081773432 in words is "twenty billion, eighty-one million, seven hundred seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 163 164 184 287 322 326 328 574 644 652 943 1141 1148 1288 1304 1886 2282 2296 2333 3749 3772 4564 4666 6601 6683 7498 7544 9128 9332 13202 13366 14996 16331 18664 26243 26404 26732 29992 32662 46781 52486 52808 53464 53659 65324 93562 95653 104972 107318 130648 153709 187124 191306 209944 214636 307418 374248 375613 380279 382612 429272 614836 669571 751226 760558 765224 1075963 1229672 1339142 1502452 1521116 2151926 2200019 2661953 2678284 3004904 3042232 4303852 4400038 5323906 5356568 8607704 8746417 8800076 10647812 15400133 15591439 17492834 17600152 21295624 30800266 31182878 34985668 61224919 61600532 62365756 69971336 109140073 122449838 123201064 124731512 218280146 244899676 358603097 436560292 489799352 717206194 873120584 1434412388 2510221679 2868824776 5020443358 10040886716 20081773432