Search a number
-
+
9992179238272 = 277112934959203
BaseRepresentation
bin1001000101100111110001…
…0010110100010110000000
31022101020120011002101121121
42101121330102310112000
52302202440341111042
633130202131002024
72050624342100560
oct221317422642600
938336504071547
109992179238272
113202728758a80
121154674739314
13576348ab066a
142678a45a0da0
15124dbd550367
hex9167c4b4580

9992179238272 has 128 divisors (see below), whose sum is σ = 25674039417600. Its totient is φ = 3758813399040.

The previous prime is 9992179238183. The next prime is 9992179238291. The reversal of 9992179238272 is 2728329712999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×99921792382722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17193778 + ... + 17765425.

It is an arithmetic number, because the mean of its divisors is an integer number (200578432950).

Almost surely, 29992179238272 is an apocalyptic number.

It is an amenable number.

9992179238272 is an abundant number, since it is smaller than the sum of its proper divisors (15681860179328).

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

9992179238272 is a wasteful number, since it uses less digits than its factorization.

9992179238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34959264 (or 34959252 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 70.

The spelling of 9992179238272 in words is "nine trillion, nine hundred ninety-two billion, one hundred seventy-nine million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 896 928 1232 1276 1408 1624 1856 2233 2464 2552 3248 3712 4466 4928 5104 6496 8932 9856 10208 12992 17864 20416 25984 35728 40832 71456 142912 285824 34959203 69918406 139836812 244714421 279673624 384551233 489428842 559347248 769102466 978857684 1013816887 1118694496 1538204932 1957715368 2027633774 2237388992 2691858631 3076409864 3915430736 4055267548 4474777984 5383717262 6152819728 7096718209 7830861472 8110535096 10767434524 11151985757 12305639456 14193436418 15661722944 16221070192 21534869048 22303971514 24611278912 28386872836 31323445888 32442140384 43069738096 44607943028 49222557824 56773745672 64884280768 78063900299 86139476192 89215886056 113547491344 129768561536 156127800598 172278952384 178431772112 227094982688 312255601196 344557904768 356863544224 454189965376 624511202392 713727088448 908379930752 1249022404784 1427454176896 2498044809568 4996089619136 9992179238272