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816069703456 = 25721921441697
BaseRepresentation
bin10111110000000011000…
…10110111011100100000
32220000102022010020221201
423320001202313130200
5101332302321002311
61422521445530544
7112646653012300
oct13700142673440
92800368106851
10816069703456
11295103088857
121121b0113a54
135bc552c9447
142b6d867d600
1516363ea59c1
hexbe018b7720

816069703456 has 108 divisors (see below), whose sum is σ = 1972489394358. Its totient is φ = 331336341504.

The previous prime is 816069703403. The next prime is 816069703457. The reversal of 816069703456 is 654307960618.

It can be written as a sum of positive squares in only one way, i.e., 451471111056 + 364598592400 = 671916^2 + 603820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 816069703397 and 816069703406.

It is not an unprimeable number, because it can be changed into a prime (816069703457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 154801 + ... + 1286896.

Almost surely, 2816069703456 is an apocalyptic number.

It is an amenable number.

816069703456 is an abundant number, since it is smaller than the sum of its proper divisors (1156419690902).

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

816069703456 is a wasteful number, since it uses less digits than its factorization.

816069703456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441759 (or 1441725 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 816069703456 in words is "eight hundred sixteen billion, sixty-nine million, seven hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 361 392 532 608 722 784 931 1064 1444 1568 1862 2128 2527 2888 3724 4256 5054 5776 7448 10108 11552 14896 17689 20216 29792 35378 40432 70756 80864 141512 283024 566048 1441697 2883394 5766788 10091879 11533576 20183758 23067152 27392243 40367516 46134304 54784486 70643153 80735032 109568972 141286306 161470064 191745701 219137944 282572612 322940128 383491402 438275888 520452617 565145224 766982804 876551776 1040905234 1130290448 1342219907 1533965608 2081810468 2260580896 2684439814 3067931216 3643168319 4163620936 5368879628 6135862432 7286336638 8327241872 10737759256 14572673276 16654483744 21475518512 25502178233 29145346552 42951037024 51004356466 58290693104 102008712932 116581386208 204017425864 408034851728 816069703456