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22391416378960 = 2453153239712781
BaseRepresentation
bin1010001011101011010000…
…11010110101011001010000
32221021121011022021121011021
411011311220122311121100
510413330110043111320
6115342250310325224
74500504112606516
oct505655032653120
987247138247137
1022391416378960
117153167891732
122617734059814
13c65669a60925
14575a70cc44b6
1528c6badcbdaa
hex145d686b5650

22391416378960 has 160 divisors (see below), whose sum is σ = 54982520893440. Its totient is φ = 8468510668800.

The previous prime is 22391416378931. The next prime is 22391416378999. The reversal of 22391416378960 is 6987361419322.

It is a happy number.

It is a congruent 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, 31057770 + ... + 31770550.

It is an arithmetic number, because the mean of its divisors is an integer number (343640755584).

Almost surely, 222391416378960 is an apocalyptic number.

22391416378960 is a gapful number since it is divisible by the number (20) 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 22391416378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27491260446720).

22391416378960 is an abundant number, since it is smaller than the sum of its proper divisors (32591104514480).

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

22391416378960 is a wasteful number, since it uses less digits than its factorization.

22391416378960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713117 (or 713111 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 22391416378960 in words is "twenty-two trillion, three hundred ninety-one billion, four hundred sixteen million, three hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 239 248 265 310 424 478 496 530 620 848 956 1060 1195 1240 1643 1912 2120 2390 2480 3286 3824 4240 4780 6572 7409 8215 9560 12667 13144 14818 16430 19120 25334 26288 29636 32860 37045 50668 59272 63335 65720 74090 101336 118544 126670 131440 148180 202672 253340 296360 392677 506680 592720 712781 785354 1013360 1425562 1570708 1963385 2851124 3141416 3563905 3926770 5702248 6282832 7127810 7853540 11404496 14255620 15707080 22096211 28511240 31414160 37777393 44192422 57022480 75554786 88384844 110481055 151109572 170354659 176769688 188886965 220962110 302219144 340709318 353539376 377773930 441924220 604438288 681418636 755547860 851773295 883848440 1171099183 1362837272 1511095720 1703546590 1767696880 2342198366 2725674544 3022191440 3407093180 4684396732 5280994429 5855495915 6814186360 9028796927 9368793464 10561988858 11710991830 13628372720 18057593854 18737586928 21123977716 23421983660 26404972145 36115187708 42247955432 45143984635 46843967320 52809944290 72230375416 84495910864 90287969270 93687934640 105619888580 144460750832 180575938540 211239777160 279892704737 361151877080 422479554320 559785409474 722303754160 1119570818948 1399463523685 2239141637896 2798927047370 4478283275792 5597854094740 11195708189480 22391416378960