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86919980077824 = 2833713123349919
BaseRepresentation
bin10011110000110110100010…
…100010010101001100000000
3102101202110122212012202220220
4103300312202202111030000
542343044104344442244
6504510253153303040
724210522064223025
oct2360664242251400
9371673585182826
1086919980077824
11257716138335a3
1298b9811564a80
13396669919bb6a
141766d4154754c
15a0aec5031319
hex4f0da2895300

86919980077824 has 144 divisors (see below), whose sum is σ = 239399818183680. Its totient is φ = 27975069757440.

The previous prime is 86919980077789. The next prime is 86919980077829. The reversal of 86919980077824 is 42877008991968.

It is a self number, because there is not a number n which added to its sum of digits gives 86919980077824.

It is not an unprimeable number, because it can be changed into a prime (86919980077829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7952464 + ... + 15397455.

Almost surely, 286919980077824 is an apocalyptic number.

It is an amenable number.

86919980077824 is an abundant number, since it is smaller than the sum of its proper divisors (152479838105856).

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

86919980077824 is a wasteful number, since it uses less digits than its factorization.

86919980077824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23350106 (or 23350092 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 78.

The spelling of 86919980077824 in words is "eighty-six trillion, nine hundred nineteen billion, nine hundred eighty million, seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 131 148 192 222 256 262 296 384 393 444 524 592 768 786 888 1048 1184 1572 1776 2096 2368 3144 3552 4192 4736 4847 6288 7104 8384 9472 9694 12576 14208 14541 16768 19388 25152 28416 29082 33536 38776 50304 58164 77552 100608 116328 155104 232656 310208 465312 620416 930624 1240832 1861248 3722496 23349919 46699838 70049757 93399676 140099514 186799352 280199028 373598704 560398056 747197408 863947003 1120796112 1494394816 1727894006 2241592224 2591841009 2988789632 3058839389 3455788012 4483184448 5183682018 5977579264 6117678778 6911576024 8966368896 9176518167 10367364036 12235357556 13823152048 17932737792 18353036334 20734728072 24470715112 27646304096 36706072668 41469456144 48941430224 55292608192 73412145336 82938912288 97882860448 110585216384 113177057393 146824290672 165877824576 195765720896 221170432768 226354114786 293648581344 331755649152 339531172179 391531441792 452708229572 587297162688 663511298304 679062344358 783062883584 905416459144 1174594325376 1358124688716 1810832918288 2349188650752 2716249377432 3621665836576 5432498754864 7243331673152 10864997509728 14486663346304 21729995019456 28973326692608 43459990038912 86919980077824