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801187314696 = 23343771470651
BaseRepresentation
bin10111010100010100111…
…11000011110000001000
32211121000010021120120000
423222022133003300020
5101111312423032241
61412021012403000
7111612111544626
oct13521237036010
92747003246500
10801187314696
1128986639690a
1210b338016460
135a722c4bc52
142aac5d12516
1515c92673eb6
hexba8a7c3c08

801187314696 has 160 divisors (see below), whose sum is σ = 2337182527680. Its totient is φ = 256184208000.

The previous prime is 801187314661. The next prime is 801187314701. The reversal of 801187314696 is 696413781108.

It is a super-2 number, since 2×8011873146962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1466971 + ... + 1937621.

It is an arithmetic number, because the mean of its divisors is an integer number (14607390798).

Almost surely, 2801187314696 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 801187314696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168591263840).

801187314696 is an abundant number, since it is smaller than the sum of its proper divisors (1535995212984).

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

801187314696 is a wasteful number, since it uses less digits than its factorization.

801187314696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470777 (or 470764 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 801187314696 in words is "eight hundred one billion, one hundred eighty-seven million, three hundred fourteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 71 72 74 81 108 111 142 148 162 213 216 222 284 296 324 333 426 444 568 639 648 666 852 888 999 1278 1332 1704 1917 1998 2556 2627 2664 2997 3834 3996 5112 5254 5751 5994 7668 7881 7992 10508 11502 11988 15336 15762 21016 23004 23643 23976 31524 46008 47286 63048 70929 94572 141858 189144 212787 283716 425574 470651 567432 851148 941302 1411953 1702296 1882604 2823906 3765208 4235859 5647812 8471718 11295624 12707577 16943436 17414087 25415154 33416221 33886872 34828174 38122731 50830308 52242261 66832442 69656348 76245462 100248663 101660616 104484522 133664884 139312696 152490924 156726783 200497326 208969044 267329768 300745989 304981848 313453566 400994652 417938088 470180349 601491978 626907132 801989304 902237967 940360698 1202983956 1236400177 1253814264 1410541047 1804475934 1880721396 2405967912 2472800354 2706713901 2821082094 3608951868 3709200531 3761442792 4945600708 5413427802 5642164188 7217903736 7418401062 9891201416 10826855604 11127601593 11284328376 14836802124 21653711208 22255203186 29673604248 33382804779 44510406372 66765609558 89020812744 100148414337 133531219116 200296828674 267062438232 400593657348 801187314696