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342626973335552 = 214192956937223
BaseRepresentation
bin100110111100111100000111…
…1000010010100000000000000
31122221010211002212122220220202
41031321320033002110000000
5324402100020133214202
63212412354132024332
7132111660542466143
oct11571701702240000
91587124085586822
10342626973335552
119a1983131aa124
12325174a01620a8
131192477b197009
14608733c10605a
1529927a9440802
hex1379e0f094000

342626973335552 has 120 divisors (see below), whose sum is σ = 721341703051200. Its totient is φ = 162287138635776.

The previous prime is 342626973335519. The next prime is 342626973335587. The reversal of 342626973335552 is 255533379626243.

It is a super-2 number, since 2×3426269733355522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9204692813 + ... + 9204730035.

It is an arithmetic number, because the mean of its divisors is an integer number (6011180858760).

Almost surely, 2342626973335552 is an apocalyptic number.

342626973335552 is a gapful number since it is divisible by the number (32) 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 342626973335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360670851525600).

342626973335552 is an abundant number, since it is smaller than the sum of its proper divisors (378714729715648).

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

342626973335552 is an equidigital number, since it uses as much as digits as its factorization.

342626973335552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66839 (or 66813 counting only the distinct ones).

The product of its digits is 734832000, while the sum is 65.

The spelling of 342626973335552 in words is "three hundred forty-two trillion, six hundred twenty-six billion, nine hundred seventy-three million, three hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 8192 9728 16384 19456 29569 37223 38912 59138 74446 77824 118276 148892 155648 236552 297784 311296 473104 561811 595568 707237 946208 1123622 1191136 1414474 1892416 2247244 2382272 2828948 3784832 4494488 4764544 5657896 7569664 8988976 9529088 11315792 15139328 17977952 19058176 22631584 30278656 35955904 38116352 45263168 60557312 71911808 76232704 90526336 121114624 143823616 152465408 181052672 242229248 287647232 304930816 362105344 484458496 575294464 609861632 724210688 1100646887 1150588928 1448421376 2201293774 2301177856 2896842752 4402587548 4602355712 5793685504 8805175096 9204711424 11587371008 17610350192 20912290853 35220700384 41824581706 70441400768 83649163412 140882801536 167298326824 281765603072 334596653648 563531206144 669193307296 1127062412288 1338386614592 2254124824576 2676773229184 4508249649152 5353546458368 9016499298304 10707092916736 18032998596608 21414185833472 42828371666944 85656743333888 171313486667776 342626973335552