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671062263144 = 2337132391285619
BaseRepresentation
bin10011100001111100110…
…11011000010101101000
32101011010111001001110020
421300332123120111220
541443313414410034
61232140505120440
766324356056530
oct11607633302550
92334114031406
10671062263144
11239661175699
12aa081489120
134b3861a2120
142469ddb44c0
15126c885d249
hex9c3e6d8568

671062263144 has 128 divisors (see below), whose sum is σ = 2073447936000. Its totient is φ = 176242800384.

The previous prime is 671062263097. The next prime is 671062263161. The reversal of 671062263144 is 441362260176.

It is a happy number.

671062263144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6710622631442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 671062263096 and 671062263105.

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, 120834 + ... + 1164785.

It is an arithmetic number, because the mean of its divisors is an integer number (16198812000).

Almost surely, 2671062263144 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 671062263144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036723968000).

671062263144 is an abundant number, since it is smaller than the sum of its proper divisors (1402385672856).

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

671062263144 is a wasteful number, since it uses less digits than its factorization.

671062263144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285887 (or 1285883 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 671062263144 in words is "six hundred seventy-one billion, sixty-two million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 239 273 312 364 478 546 717 728 956 1092 1434 1673 1912 2184 2868 3107 3346 5019 5736 6214 6692 9321 10038 12428 13384 18642 20076 21749 24856 37284 40152 43498 65247 74568 86996 130494 173992 260988 521976 1285619 2571238 3856857 5142476 7713714 8999333 10284952 15427428 16713047 17998666 26997999 30854856 33426094 35997332 50139141 53995998 66852188 71994664 100278282 107991996 116991329 133704376 200556564 215983992 233982658 307262941 350973987 401113128 467965316 614525882 701947974 921788823 935930632 1229051764 1403895948 1843577646 2150840587 2458103528 2807791896 3687155292 3994418233 4301681174 6452521761 7374310584 7988836466 8603362348 11983254699 12905043522 15977672932 17206724696 23966509398 25810087044 27960927631 31955345864 47933018796 51620174088 55921855262 83882782893 95866037592 111843710524 167765565786 223687421048 335531131572 671062263144