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138233863680 = 2935111636291
BaseRepresentation
bin1000000010111101100…
…0010101111000000000
3111012210202101212011220
42000233120111320000
54231100332114210
6143300451235040
712662364311553
oct2005730257000
9435722355156
10138233863680
1153696459850
122295a2a8a80
131005c9ca713
146994c4c69a
1538e0b56c70
hex202f615e00

138233863680 has 160 divisors (see below), whose sum is σ = 482090894208. Its totient is φ = 33511219200.

The previous prime is 138233863679. The next prime is 138233863687. The reversal of 138233863680 is 86368332831.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138233863687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733666 + ... + 902625.

Almost surely, 2138233863680 is an apocalyptic number.

138233863680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138233863680 is an abundant number, since it is smaller than the sum of its proper divisors (343857030528).

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

138233863680 is a wasteful number, since it uses less digits than its factorization.

138233863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636328 (or 1636312 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 138233863680 in words is "one hundred thirty-eight billion, two hundred thirty-three million, eight hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 1636291 3272582 4908873 6545164 8181455 9817746 13090328 16362910 17999201 19635492 24544365 26180656 32725820 35998402 39270984 49088730 52361312 53997603 65451640 71996804 78541968 89996005 98177460 104722624 107995206 130903280 143993608 157083936 179992010 196354920 209445248 215990412 261806560 269988015 287987216 314167872 359984020 392709840 418890496 431980824 523613120 539976030 575974432 628335744 719968040 785419680 837780992 863961648 1047226240 1079952060 1151948864 1256671488 1439936080 1570839360 1727923296 2094452480 2159904120 2303897728 2513342976 2879872160 3141678720 3455846592 4188904960 4319808240 4607795456 5759744320 6283357440 6911693184 8639616480 9215590912 11519488640 12566714880 13823386368 17279232960 23038977280 27646772736 34558465920 46077954560 69116931840 138233863680