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842318147945376 = 253217993711731311
BaseRepresentation
bin1011111110000101010111100…
…1111111110000001110100000
311002110101211100222210021020100
42333201111321333300032200
51340401020031333223001
612143243340513542400
7342264322635236034
oct27741257177601640
94073354328707210
10842318147945376
11224430136365403
127a57aa97574a00
132a2003504b642b
1410c005b729c1c4
15675a964994586
hex2fe1579ff03a0

842318147945376 has 144 divisors (see below), whose sum is σ = 2536271705455488. Its totient is φ = 264253861939200.

The previous prime is 842318147945369. The next prime is 842318147945377. The reversal of 842318147945376 is 673549741813248.

It is a happy number.

842318147945376 is a `hidden beast` number, since 8 + 4 + 2 + 3 + 1 + 8 + 14 + 79 + 4 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (842318147945377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485654761 + ... + 487386071.

It is an arithmetic number, because the mean of its divisors is an integer number (17612997954552).

Almost surely, 2842318147945376 is an apocalyptic number.

It is an amenable number.

842318147945376 is an abundant number, since it is smaller than the sum of its proper divisors (1693953557510112).

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

842318147945376 is a wasteful number, since it uses less digits than its factorization.

842318147945376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830715 (or 1830704 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 842318147945376 in words is "eight hundred forty-two trillion, three hundred eighteen billion, one hundred forty-seven million, nine hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 99371 198742 298113 397484 596226 794968 894339 1192452 1589936 1689307 1731311 1788678 2384904 3179872 3378614 3462622 3577356 4769808 5067921 5193933 6757228 6925244 7154712 9539616 10135842 10387866 13514456 13850488 14309424 15203763 15581799 20271684 20775732 27028912 27700976 28618848 29432287 30407526 31163598 40543368 41551464 54057824 55401952 58864574 60815052 62327196 81086736 83102928 88296861 117729148 121630104 124654392 162173472 166205856 176593722 235458296 243260208 249308784 264890583 353187444 470916592 486520416 498617568 529781166 706374888 941833184 1059562332 1412749776 2119124664 2825499552 4238249328 8476498656 172042105381 344084210762 516126316143 688168421524 1032252632286 1376336843048 1548378948429 2064505264572 2752673686096 2924715791477 3096757896858 4129010529144 5505347372192 5849431582954 6193515793716 8258021058288 8774147374431 11698863165908 12387031587432 16516042116576 17548294748862 23397726331816 24774063174864 26322442123293 35096589497724 46795452663632 49548126349728 52644884246586 70193178995448 93590905327264 105289768493172 140386357990896 210579536986344 280772715981792 421159073972688 842318147945376