Search a number
-
+
19533854208 = 293111916053
BaseRepresentation
bin10010001100010011…
…101111011000000000
31212102100101121102210
4102030103233120000
5310001131313313
612550154142120
71261032010161
oct221423573000
955370347383
1019533854208
118314395870
123951a21940
131ac3c46c1b
14d34423768
15794d8d9c3
hex48c4ef600

19533854208 has 160 divisors (see below), whose sum is σ = 57076918272. Its totient is φ = 5887385600.

The previous prime is 19533854201. The next prime is 19533854213. The reversal of 19533854208 is 80245833591.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19533854201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3224110 + ... + 3230162.

Almost surely, 219533854208 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 19533854208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28538459136).

19533854208 is an abundant number, since it is smaller than the sum of its proper divisors (37543064064).

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

19533854208 is a wasteful number, since it uses less digits than its factorization.

19533854208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 19533854208 in words is "nineteen billion, five hundred thirty-three million, eight hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 191 192 256 264 352 382 384 512 528 573 704 764 768 1056 1146 1408 1528 1536 2101 2112 2292 2816 3056 4202 4224 4584 5632 6053 6112 6303 8404 8448 9168 12106 12224 12606 16808 16896 18159 18336 24212 24448 25212 33616 36318 36672 48424 48896 50424 66583 67232 72636 73344 96848 97792 100848 133166 134464 145272 146688 193696 199749 201696 266332 268928 290544 293376 387392 399498 403392 532664 537856 581088 774784 798996 806784 1065328 1075712 1156123 1162176 1549568 1597992 1613568 2130656 2312246 2324352 3099136 3195984 3227136 3468369 4261312 4624492 4648704 6391968 6936738 8522624 9248984 9297408 12717353 12783936 13873476 17045248 18497968 25434706 25567872 27746952 34090496 36995936 38152059 50869412 51135744 55493904 73991872 76304118 101738824 102271488 110987808 147983744 152608236 203477648 221975616 295967488 305216472 406955296 443951232 591934976 610432944 813910592 887902464 1220865888 1627821184 1775804928 2441731776 3255642368 4883463552 6511284736 9766927104 19533854208