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146538822912 = 283414799017
BaseRepresentation
bin1000100001111001100…
…1001111110100000000
3112000020112122111111120
42020132121033310000
54400102414313122
6151152523312240
713405240304646
oct2103631176400
9460215574446
10146538822912
1157168388619
122449767b680
1310a84486991
147141c1b196
153c29ce075c
hex221e64fd00

146538822912 has 144 divisors (see below), whose sum is σ = 408023868672. Its totient is φ = 46640496640.

The previous prime is 146538822883. The next prime is 146538822923. The reversal of 146538822912 is 219228835641.

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, 1430428 + ... + 1529444.

It is an arithmetic number, because the mean of its divisors is an integer number (2833499088).

Almost surely, 2146538822912 is an apocalyptic number.

146538822912 is a gapful number since it is divisible by the number (12) 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 146538822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204011934336).

146538822912 is an abundant number, since it is smaller than the sum of its proper divisors (261485045760).

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

146538822912 is an equidigital number, since it uses as much as digits as its factorization.

146538822912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99124 (or 99110 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 146538822912 in words is "one hundred forty-six billion, five hundred thirty-eight million, eight hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 94 96 123 128 141 164 188 192 246 256 282 328 376 384 492 564 656 752 768 984 1128 1312 1504 1927 1968 2256 2624 3008 3854 3936 4512 5248 5781 6016 7708 7872 9024 10496 11562 12032 15416 15744 18048 23124 30832 31488 36096 46248 61664 92496 99017 123328 184992 198034 246656 297051 369984 396068 493312 594102 739968 792136 1188204 1479936 1584272 2376408 3168544 4059697 4653799 4752816 6337088 8119394 9307598 9505632 12179091 12674176 13961397 16238788 18615196 19011264 24358182 25348352 27922794 32477576 37230392 38022528 48716364 55845588 64955152 74460784 76045056 97432728 111691176 129910304 148921568 190805759 194865456 223382352 259820608 297843136 381611518 389730912 446764704 519641216 572417277 595686272 763223036 779461824 893529408 1039282432 1144834554 1191372544 1526446072 1558923648 1787058816 2289669108 3052892144 3117847296 3574117632 4579338216 6105784288 9158676432 12211568576 18317352864 24423137152 36634705728 48846274304 73269411456 146538822912