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6851872345734 = 236131529923629
BaseRepresentation
bin110001110110101001101…
…1010101100111010000110
3220021000212202122111000000
41203231103122230322012
51344230113310030414
622323412351502130
71305013532656653
oct143552332547206
926230782574000
106851872345734
112201954347269
12927b32227946
133a9189c49670
141998bd3d0c2a
15bd3761b8b09
hex63b536ace86

6851872345734 has 112 divisors (see below), whose sum is σ = 16596809334000. Its totient is φ = 2108041391808.

The previous prime is 6851872345727. The next prime is 6851872345763. The reversal of 6851872345734 is 4375432781586.

It is a happy number.

6851872345734 is a `hidden beast` number, since 6 + 8 + 51 + 8 + 7 + 2 + 3 + 4 + 573 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 289965432 + ... + 289989060.

It is an arithmetic number, because the mean of its divisors is an integer number (148185797625).

Almost surely, 26851872345734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6851872345734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298404667000).

6851872345734 is an abundant number, since it is smaller than the sum of its proper divisors (9744936988266).

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

6851872345734 is a wasteful number, since it uses less digits than its factorization.

6851872345734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38961 (or 38946 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 6851872345734 in words is "six trillion, eight hundred fifty-one billion, eight hundred seventy-two million, three hundred forty-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 15299 18954 23629 30598 45897 47258 70887 91794 137691 141774 198887 212661 275382 307177 397774 413073 425322 596661 614354 637983 826146 921531 1193322 1239219 1275966 1789983 1843062 1913949 2478438 2764593 3579966 3717657 3827898 5369949 5529186 5741847 7435314 8293779 10739898 11152971 11483694 16109847 16587558 17225541 22305942 24881337 32219694 34451082 48329541 49762674 74644011 96659082 144988623 149288022 223932033 289977246 361500071 447864066 723000142 1084500213 2169000426 3253500639 4699500923 6507001278 9399001846 9760501917 14098502769 19521003834 28197005538 29281505751 42295508307 58563011502 84591016614 87844517253 126886524921 175689034506 253773049842 263533551759 380659574763 527067103518 761319149526 1141978724289 2283957448578 3425936172867 6851872345734