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260122256344320 = 2835569119051267
BaseRepresentation
bin111011001001010001101110…
…101100000000010100000000
31021010000110000021220100120020
4323021101232230000110000
5233043320340111004240
62321122303113413440
7105535133001245046
oct7311215654002400
91233013007810506
10260122256344320
1175979258373447
122521152940a280
13b21b5676230c6
144833dad20a396
15201159bc440d0
hexec946eb00500

260122256344320 has 144 divisors (see below), whose sum is σ = 832225507928640. Its totient is φ = 69244025946112.

The previous prime is 260122256344309. The next prime is 260122256344399. The reversal of 260122256344320 is 23443652221062.

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, 57340674 + ... + 61710593.

It is an arithmetic number, because the mean of its divisors is an integer number (5779343805060).

Almost surely, 2260122256344320 is an apocalyptic number.

260122256344320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260122256344320 is an abundant number, since it is smaller than the sum of its proper divisors (572103251584320).

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

260122256344320 is a wasteful number, since it uses less digits than its factorization.

260122256344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119051860 (or 119051846 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 260122256344320 in words is "two hundred sixty trillion, one hundred twenty-two billion, two hundred fifty-six million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 569 640 768 960 1138 1280 1707 1920 2276 2845 3414 3840 4552 5690 6828 8535 9104 11380 13656 17070 18208 22760 27312 34140 36416 45520 54624 68280 72832 91040 109248 136560 145664 182080 218496 273120 364160 436992 546240 728320 1092480 2184960 119051267 238102534 357153801 476205068 595256335 714307602 952410136 1190512670 1428615204 1785769005 1904820272 2381025340 2857230408 3571538010 3809640544 4762050680 5714460816 7143076020 7619281088 9524101360 11428921632 14286152040 15238562176 19048202720 22857843264 28572304080 30477124352 38096405440 45715686528 57144608160 67740170923 76192810880 91431373056 114289216320 135480341846 152385621760 203220512769 228578432640 270960683692 338700854615 406441025538 457156865280 541921367384 677401709230 812882051076 1016102563845 1083842734768 1354803418460 1625764102152 2032205127690 2167685469536 2709606836920 3251528204304 4064410255380 4335370939072 5419213673840 6503056408608 8128820510760 8670741878144 10838427347680 13006112817216 16257641021520 17341483756288 21676854695360 26012225634432 32515282043040 43353709390720 52024451268864 65030564086080 86707418781440 130061128172160 260122256344320