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146121163968 = 2631324503241
BaseRepresentation
bin1000100000010110000…
…0000000010011000000
3111222011102202020010210
42020011200000103000
54343224004221333
6151043243354120
713362006254253
oct2100540002300
9458142666123
10146121163968
1156a7365123a
122439b822940
1310a18aa1700
14710257b09a
153c032dea63
hex22058004c0

146121163968 has 84 divisors (see below), whose sum is σ = 418639389288. Its totient is φ = 44960348160.

The previous prime is 146121163961. The next prime is 146121163987. The reversal of 146121163968 is 869361121641.

146121163968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (146121163961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2219173 + ... + 2284068.

Almost surely, 2146121163968 is an apocalyptic number.

It is an amenable number.

146121163968 is an abundant number, since it is smaller than the sum of its proper divisors (272518225320).

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

146121163968 is a wasteful number, since it uses less digits than its factorization.

146121163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503282 (or 4503259 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The spelling of 146121163968 in words is "one hundred forty-six billion, one hundred twenty-one million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 4503241 9006482 13509723 18012964 27019446 36025928 54038892 58542133 72051856 108077784 117084266 144103712 175626399 216155568 234168532 288207424 351252798 432311136 468337064 702505596 761047729 864622272 936674128 1405011192 1522095458 1873348256 2283143187 2810022384 3044190916 3746696512 4566286374 5620044768 6088381832 9132572748 11240089536 12176763664 18265145496 24353527328 36530290992 48707054656 73060581984 146121163968