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4819653229872 = 2431328334778653
BaseRepresentation
bin100011000100010100110…
…1101111111110100110000
3122001202100220211221222110
41012020221231333310300
51112431122211323442
614130041303205320
71005131333336325
oct106105155776460
918052326757873
104819653229872
1115990046668a8
1265a0b8146840
1328c6506579c0
141293b58c0b4c
158558486b69c
hex46229b7fd30

4819653229872 has 160 divisors (see below), whose sum is σ = 13494851774208. Its totient is φ = 1473452725248.

The previous prime is 4819653229861. The next prime is 4819653229879. The reversal of 4819653229872 is 2789223569184.

It is not an unprimeable number, because it can be changed into a prime (4819653229879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61238098 + ... + 61316750.

Almost surely, 24819653229872 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 4819653229872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6747425887104).

4819653229872 is an abundant number, since it is smaller than the sum of its proper divisors (8675198544336).

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

4819653229872 is a wasteful number, since it uses less digits than its factorization.

4819653229872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79307 (or 79301 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 4819653229872 in words is "four trillion, eight hundred nineteen billion, six hundred fifty-three million, two hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 283 312 347 566 624 694 849 1041 1132 1388 1698 2082 2264 2776 3396 3679 4164 4511 4528 5552 6792 7358 8328 9022 11037 13533 13584 14716 16656 18044 22074 27066 29432 36088 44148 54132 58864 72176 78653 88296 98201 108264 157306 176592 196402 216528 235959 294603 314612 392804 471918 589206 629224 785608 943836 1022489 1178412 1258448 1276613 1571216 1887672 2044978 2356824 2553226 3067467 3775344 3829839 4089956 4713648 5106452 6134934 7659678 8179912 10212904 12269868 15319356 16359824 20425808 22258799 24539736 27292591 30638712 44517598 49079472 54585182 61277424 66776397 81877773 89035196 109170364 133552794 163755546 178070392 218340728 267105588 289364387 327511092 354803683 356140784 436681456 534211176 578728774 655022184 709607366 868093161 1064411049 1068422352 1157457548 1310044368 1419214732 1736186322 2128822098 2314915096 2838429464 3472372644 4257644196 4629830192 5676858928 6944745288 7723803253 8515288392 13889490576 15447606506 17030576784 23171409759 30895213012 46342819518 61790426024 92685639036 100409442289 123580852048 185371278072 200818884578 301228326867 370742556144 401637769156 602456653734 803275538312 1204913307468 1606551076624 2409826614936 4819653229872