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2829361614672 = 2432112381117329
BaseRepresentation
bin101001001011000011000…
…110000000111101010000
3101000111002002001011021210
4221023003012000331100
5332324013033132142
610003442450420120
7411262134625155
oct51130306007520
911014062034253
102829361614672
119a0a1a96322a
12398423591640
13176a6655a628
149ad2856422c
154d8e8d4749c
hex292c3180f50

2829361614672 has 80 divisors (see below), whose sum is σ = 7346971817280. Its totient is φ = 938248550400.

The previous prime is 2829361614623. The next prime is 2829361614721. The reversal of 2829361614672 is 2764161639282.

It is an interprime number because it is at equal distance from previous prime (2829361614623) and next prime (2829361614721).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24056104 + ... + 24173432.

It is an arithmetic number, because the mean of its divisors is an integer number (91837147716).

Almost surely, 22829361614672 is an apocalyptic number.

It is an amenable number.

2829361614672 is an abundant number, since it is smaller than the sum of its proper divisors (4517610202608).

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

2829361614672 is a wasteful number, since it uses less digits than its factorization.

2829361614672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119932 (or 119926 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 57.

The spelling of 2829361614672 in words is "two trillion, eight hundred twenty-nine billion, three hundred sixty-one million, six hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 211 422 633 844 1266 1688 2381 2532 3376 4762 5064 7143 9524 10128 14286 19048 28572 38096 57144 114288 117329 234658 351987 469316 502391 703974 938632 1004782 1407948 1507173 1877264 2009564 2815896 3014346 4019128 5631792 6028692 8038256 12057384 24114768 24756419 49512838 74269257 99025676 148538514 198051352 279360349 297077028 396102704 558720698 594154056 838081047 1117441396 1188308112 1676162094 2234882792 3352324188 4469765584 6704648376 13409296752 58945033639 117890067278 176835100917 235780134556 353670201834 471560269112 707340403668 943120538224 1414680807336 2829361614672