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42765224172 = 223115918312999
BaseRepresentation
bin100111110101000000…
…011000100011101100
311002101101022110221120
4213311000120203230
51200040344133142
631351315100540
73042522256566
oct476500304354
9132341273846
1042765224172
1117155943980
128355ba1750
134056c24a98
1420d993c336
1511a46527ec
hex9f50188ec

42765224172 has 96 divisors (see below), whose sum is σ = 110799360000. Its totient is φ = 12728308800.

The previous prime is 42765224167. The next prime is 42765224213. The reversal of 42765224172 is 27142256724.

It is a happy number.

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, 14258329 + ... + 14261327.

It is an arithmetic number, because the mean of its divisors is an integer number (1154160000).

Almost surely, 242765224172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42765224172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55399680000).

42765224172 is an abundant number, since it is smaller than the sum of its proper divisors (68034135828).

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

42765224172 is a wasteful number, since it uses less digits than its factorization.

42765224172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4905 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 42765224172 in words is "forty-two billion, seven hundred sixty-five million, two hundred twenty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1831 1947 2596 2999 3662 3894 5493 5998 7324 7788 8997 10986 11996 17994 20141 21972 32989 35988 40282 60423 65978 80564 98967 108029 120846 131956 176941 197934 216058 241692 324087 353882 395868 432116 530823 648174 707764 1061646 1188319 1296348 1946351 2123292 2376638 3564957 3892702 4753276 5491169 5839053 7129914 7785404 10982338 11678106 14259828 16473507 21964676 23356212 32947014 60402859 65894028 120805718 181208577 241611436 323978971 362417154 647957942 724834308 971936913 1295915884 1943873826 3563768681 3887747652 7127537362 10691306043 14255074724 21382612086 42765224172