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71114338684212 = 223191933691343781
BaseRepresentation
bin10000001010110110011000…
…111001010100110100110100
3100022210110112112110011111120
4100022312120321110310310
533310114131200343322
6411125250504503540
720656561415123445
oct2012663071246464
9308713475404446
1071114338684212
112072847027085a
127b8652817abb0
13308b0903145b5
14137bd493a92cc
15834ca91caa5c
hex40ad98e54d34

71114338684212 has 96 divisors (see below), whose sum is σ = 175580572782720. Its totient is φ = 22339685744640.

The previous prime is 71114338684211. The next prime is 71114338684243. The reversal of 71114338684212 is 21248683341117.

It is a super-2 number, since 2×711143386842122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71114338684211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624297762 + ... + 1624341542.

It is an arithmetic number, because the mean of its divisors is an integer number (1828964299820).

Almost surely, 271114338684212 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 71114338684212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87790286391360).

71114338684212 is an abundant number, since it is smaller than the sum of its proper divisors (104466234098508).

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

71114338684212 is a wasteful number, since it uses less digits than its factorization.

71114338684212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80913 (or 80911 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 71114338684212 in words is "seventy-one trillion, one hundred fourteen billion, three hundred thirty-eight million, six hundred eighty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3667 7334 11001 14668 22002 36913 43781 44004 73826 87562 110739 131343 147652 175124 221478 262686 442956 525372 701347 831839 1402694 1663678 2104041 2495517 2805388 3327356 4208082 4991034 7124209 8416164 8449733 9982068 14248418 16899466 21372627 25349199 28496836 33798932 42745254 50698398 85490508 101396796 135359971 160544927 270719942 321089854 406079913 481634781 541439884 642179708 812159826 963269562 1616088053 1624319652 1926539124 3232176106 4848264159 6464352212 9696528318 19393056636 30705673007 61411346014 92117019021 122822692028 184234038042 311904994229 368468076084 623809988458 935714982687 1247619976916 1871429965374 3742859930748 5926194890351 11852389780702 17778584671053 23704779561404 35557169342106 71114338684212