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86213267140 = 225711213391487
BaseRepresentation
bin101000001001010110…
…1100000111011000100
322020112100110202012011
41100102231200323010
52403031044022030
6103334505304004
76141305452030
oct1202255407304
9266470422164
1086213267140
1133621161700
1214860795004
13818c451850
14425c0211c0
152398bd1b2a
hex1412b60ec4

86213267140 has 144 divisors (see below), whose sum is σ = 244927420416. Its totient is φ = 24804552960.

The previous prime is 86213267111. The next prime is 86213267167. The reversal of 86213267140 is 4176231268.

It is a junction number, because it is equal to n+sod(n) for n = 86213267093 and 86213267102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24477 + ... + 415963.

It is an arithmetic number, because the mean of its divisors is an integer number (1700884864).

Almost surely, 286213267140 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 86213267140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122463710208).

86213267140 is an abundant number, since it is smaller than the sum of its proper divisors (158714153276).

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

86213267140 is a wasteful number, since it uses less digits than its factorization.

86213267140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391538 (or 391525 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

It can be divided in two parts, 86213 and 267140, that added together give a palindrome (353353).

The spelling of 86213267140 in words is "eighty-six billion, two hundred thirteen million, two hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 391487 782974 1565948 1957435 2740409 3914870 4306357 5089331 5480818 7829740 8612714 10178662 10961636 13702045 17225428 20357324 21531785 25446655 27404090 30144499 35625317 43063570 47369927 50893310 54808180 55982641 60288998 71250634 86127140 94739854 101786620 111965282 120577996 142501268 150722495 178126585 189479708 223930564 236849635 279913205 301444990 331589489 356253170 391878487 473699270 559826410 602889980 615809051 663178978 712506340 783756974 947398540 1119652820 1231618102 1326357956 1567513948 1657947445 1959392435 2463236204 3079045255 3315894890 3918784870 4310663357 6158090510 6631789780 7837569740 8621326714 12316181020 17242653428 21553316785 43106633570 86213267140