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145838501788266 = 23371795849368507
BaseRepresentation
bin100001001010001110101100…
…000101111111101001101010
3201010101000122221101220101000
4201022032230011333221222
5123103404222424211031
61234101141030535430
742501325012454640
oct4112165405775152
9633330587356330
10145838501788266
1142517841291921
121443458b207576
13634b6862b9561
14280289a60b190
1511cd8da1e23e6
hex84a3ac17fa6a

145838501788266 has 128 divisors (see below), whose sum is σ = 372517367040000. Its totient is φ = 41428163843712.

The previous prime is 145838501788237. The next prime is 145838501788279. The reversal of 145838501788266 is 662887105838541.

145838501788266 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 38 + 501 + 7 + 8 + 82 + 6 + 6 = 666.

145838501788266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145838501788194 and 145838501788203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395570785 + ... + 395939291.

It is an arithmetic number, because the mean of its divisors is an integer number (2910291930000).

Almost surely, 2145838501788266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145838501788266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186258683520000).

145838501788266 is an abundant number, since it is smaller than the sum of its proper divisors (226678865251734).

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

145838501788266 is a wasteful number, since it uses less digits than its factorization.

145838501788266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374553 (or 374547 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 145838501788266 in words is "one hundred forty-five trillion, eight hundred thirty-eight billion, five hundred one million, seven hundred eighty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 179 189 358 378 537 1074 1253 1611 2506 3222 3759 4833 5849 7518 9666 11277 11698 17547 22554 33831 35094 40943 52641 67662 81886 105282 122829 157923 245658 315846 368487 368507 736974 737014 1046971 1105461 1105521 2093942 2210922 2211042 2579549 3140913 3316563 5159098 6281826 6633126 7328797 7738647 9422739 9949689 14657594 15477294 18845478 19899378 21986391 23215941 28268217 43972782 46431882 56536434 65959173 65962753 69647823 131918346 131925506 139295646 197877519 197888259 395755038 395776518 461739271 593664777 923478542 1187329554 1385217813 1780994331 2155397443 2770435626 3561988662 4155653439 4310794886 6466192329 8311306878 12466960317 12932384658 15087782101 19398576987 24933920634 30175564202 38797153974 45263346303 58195730961 90526692606 116391461922 135790038909 271580077818 385816142297 407370116727 771632284594 814740233454 1157448426891 2314896853782 2700712996079 3472345280673 5401425992158 6944690561346 8102138988237 10417035842019 16204277976474 20834071684038 24306416964711 48612833929422 72919250894133 145838501788266