Search a number
-
+
9938152690468 = 22374717946317239
BaseRepresentation
bin1001000010011110100000…
…0011111001001100100100
31022012002002221121101210121
42100213220003321030210
52300311314042043333
633045305130331324
72044002455031442
oct220475003711444
938162087541717
109938152690468
113191824119a72
1211460b7289b44
13571218a85692
1426501b1a9b92
151237aa43e32d
hex909e80f9324

9938152690468 has 96 divisors (see below), whose sum is σ = 18384449126400. Its totient is φ = 4695038764416.

The previous prime is 9938152690441. The next prime is 9938152690481. The reversal of 9938152690468 is 8640962518399.

It is a junction number, because it is equal to n+sod(n) for n = 9938152690397 and 9938152690406.

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, 576483793 + ... + 576501031.

It is an arithmetic number, because the mean of its divisors is an integer number (191504678400).

Almost surely, 29938152690468 is an apocalyptic number.

It is an amenable number.

9938152690468 is a deficient number, since it is larger than the sum of its proper divisors (8446296435932).

9938152690468 is a wasteful number, since it uses less digits than its factorization.

9938152690468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17969 (or 17967 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 70.

The spelling of 9938152690468 in words is "nine trillion, nine hundred thirty-eight billion, one hundred fifty-two million, six hundred ninety thousand, four hundred sixty-eight".

Divisors: 1 2 4 37 47 74 94 148 179 188 358 463 716 926 1739 1852 3478 6623 6956 8413 13246 16826 17131 17239 21761 26492 33652 34262 34478 43522 68524 68956 82877 87044 165754 311281 331508 622562 637843 805157 810233 1245124 1275686 1610314 1620466 2551372 3066449 3085781 3220628 3240932 3895219 6132898 6171562 7790438 7981657 12265796 12343124 15580876 15963314 29978621 31926628 59957242 114173897 119914484 144123103 145031707 228347794 288246206 290063414 295321309 375137879 456695588 576492412 580126828 590642618 750275758 1181285236 1428716603 1500551516 2857433206 5366173159 5714866412 10732346318 13880101523 21464692636 27760203046 52862514311 55520406092 67149680341 105725028622 134299360682 211450057244 268598721364 2484538172617 4969076345234 9938152690468