Search a number
-
+
38449471608 = 23331747222787
BaseRepresentation
bin100011110011110001…
…000110000001111000
310200020121110112102000
4203303301012001320
51112221031042413
625355145341000
72530546054602
oct436361060170
9120217415360
1038449471608
11153407a7119
127550797760
133819a7b542
141c0a6b4172
15100080b073
hex8f3c46078

38449471608 has 128 divisors (see below), whose sum is σ = 115493299200. Its totient is φ = 11805875712.

The previous prime is 38449471573. The next prime is 38449471649. The reversal of 38449471608 is 80617494483.

38449471608 is a `hidden beast` number, since 3 + 84 + 494 + 71 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 61191 + ... + 283977.

It is an arithmetic number, because the mean of its divisors is an integer number (902291400).

Almost surely, 238449471608 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 38449471608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746649600).

38449471608 is an abundant number, since it is smaller than the sum of its proper divisors (77043827592).

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

38449471608 is a wasteful number, since it uses less digits than its factorization.

38449471608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222866 (or 222856 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38449471608 in words is "thirty-eight billion, four hundred forty-nine million, four hundred seventy-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 376 408 423 459 564 612 799 846 918 1128 1224 1269 1598 1692 1836 2397 2538 3196 3384 3672 4794 5076 6392 7191 9588 10152 14382 19176 21573 28764 43146 57528 86292 172584 222787 445574 668361 891148 1336722 1782296 2005083 2673444 3787379 4010166 5346888 6015249 7574758 8020332 10470989 11362137 12030498 15149516 16040664 20941978 22724274 24060996 30299032 31412967 34086411 41883956 45448548 48121992 62825934 68172822 83767912 90897096 94238901 102259233 125651868 136345644 178006813 188477802 204518466 251303736 272691288 282716703 356013626 376955604 409036932 534020439 565433406 712027252 753911208 818073864 1068040878 1130866812 1424054504 1602061317 2136081756 2261733624 3204122634 4272163512 4806183951 6408245268 9612367902 12816490536 19224735804 38449471608