Search a number
-
+
29959519317992 = 231131787110912583
BaseRepresentation
bin1101100111111011111101…
…00000011010111111101000
310221002002202102011001020022
412303331332200122333220
512411324043421133432
6143415114013420012
76211334550310145
oct663757640327750
9127062672131208
1029959519317992
119600840680560
12343a43249a608
13139422a909784
147580970153cc
1536e4b0ee2b12
hex1b3f7e81afe8

29959519317992 has 128 divisors (see below), whose sum is σ = 63400165171200. Its totient is φ = 13149015379200.

The previous prime is 29959519317989. The next prime is 29959519318019. The reversal of 29959519317992 is 29971391595992.

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, 2380945733 + ... + 2380958315.

It is an arithmetic number, because the mean of its divisors is an integer number (495313790400).

Almost surely, 229959519317992 is an apocalyptic number.

29959519317992 is a gapful number since it is divisible by the number (22) 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 29959519317992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31700082585600).

29959519317992 is an abundant number, since it is smaller than the sum of its proper divisors (33440645853208).

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

29959519317992 is a wasteful number, since it uses less digits than its factorization.

29959519317992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14527 (or 14523 counting only the distinct ones).

The product of its digits is 1116026100, while the sum is 80.

The spelling of 29959519317992 in words is "twenty-nine trillion, nine hundred fifty-nine billion, five hundred nineteen million, three hundred seventeen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 787 1109 1364 1574 2218 2728 3148 4436 6296 8657 8872 12199 12583 17314 24397 24398 25166 34379 34628 48794 48796 50332 68758 69256 97588 97592 100664 137516 138413 195176 268367 275032 276826 378169 390073 536734 553652 756338 780146 872783 1073468 1107304 1512676 1560292 1745566 2146936 3025352 3120584 3491132 4290803 6982264 8581606 9600613 9902821 13954547 17163212 19201226 19805642 27056273 27909094 34326424 38402452 39611284 54112546 55818188 76804904 79222568 108225092 108931031 111636376 153500017 216450184 217862062 297619003 306987451 307000034 432590957 435724124 595238006 613974902 614000068 865181914 871448248 1190476012 1227949804 1228000136 1730363828 2380952024 2455899608 3376861961 3460727656 4758500527 6753723922 9517001054 10982228489 13507447844 19034002108 21964456978 27014895688 38068004216 43928913956 87857827912 120804513379 241609026758 340449083159 483218053516 680898166318 966436107032 1361796332636 2723592665272 3744939914749 7489879829498 14979759658996 29959519317992