Search a number
-
+
38372122466468 = 22721923793356473
BaseRepresentation
bin10001011100110001101001…
…01110101001100010100100
312000212100011012011002121022
420232120310232221202210
520012142101322411333
6213335524255110312
711040202652235500
oct1056306456514244
9160770135132538
1038372122466468
111125458685607a
124378936212398
131854624c3246b
149693135db300
15468231012c98
hex22e634ba98a4

38372122466468 has 144 divisors (see below), whose sum is σ = 85813354408320. Its totient is φ = 14900139910656.

The previous prime is 38372122466429. The next prime is 38372122466471. The reversal of 38372122466468 is 86466422127383.

It is a self number, because there is not a number n which added to its sum of digits gives 38372122466468.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679449080 + ... + 679505552.

It is an arithmetic number, because the mean of its divisors is an integer number (595926072280).

Almost surely, 238372122466468 is an apocalyptic number.

38372122466468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38372122466468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42906677204160).

38372122466468 is an abundant number, since it is smaller than the sum of its proper divisors (47441231941852).

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

38372122466468 is a wasteful number, since it uses less digits than its factorization.

38372122466468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64466 (or 64457 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 62.

The spelling of 38372122466468 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred twenty-two million, four hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 49 76 92 98 133 161 196 266 322 437 532 644 874 931 1127 1748 1862 2254 3059 3724 4508 6118 7933 12236 15866 21413 31732 42826 55531 56473 85652 111062 112946 150727 182459 222124 225892 301454 364918 388717 395311 602908 729836 777434 790622 1055089 1072987 1277213 1298879 1554868 1581244 2110178 2145974 2554426 2597758 2767177 3466721 4220356 4291948 5108852 5195516 5534354 6933442 7385623 7510909 8940491 9092153 11068708 13866884 14771246 15021818 17880982 18184306 24267047 24678701 29542492 30043636 35761964 36368612 48534094 49357402 52576363 63645071 97068188 98714804 105152726 127290142 169869329 172750907 210305452 254580284 339738658 345501814 448000309 679477316 691003628 896000618 1209256349 1792001236 2418512698 3136002163 4837025396 6272004326 8512005871 10304007107 12544008652 17024011742 20608014214 21952015141 34048023484 41216028428 43904030282 59584041097 72128049749 87808060564 119168082194 144256099498 195776135033 238336164388 288512198996 391552270066 417088287679 504896348243 783104540132 834176575358 1009792696486 1370432945231 1668353150716 2019585392972 2740865890462 5481731780924 9593030616617 19186061233234 38372122466468