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29828796048 = 2433237142283
BaseRepresentation
bin11011110001111011…
…110100111010010000
32211222211010211201000
4123301323310322100
5442042132433143
621411514342000
72104120403652
oct336173647220
984884124630
1029828796048
1111717639a67
12594572a900
132a74a80a9c
14162d8006d2
15b98aabbd3
hex6f1ef4e90

29828796048 has 160 divisors (see below), whose sum is σ = 90602772480. Its totient is φ = 9376456320.

The previous prime is 29828796047. The next prime is 29828796059. The reversal of 29828796048 is 84069782892.

29828796048 is a `hidden beast` number, since 298 + 287 + 9 + 60 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (29828796043) 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, 684315 + ... + 726597.

It is an arithmetic number, because the mean of its divisors is an integer number (566267328).

Almost surely, 229828796048 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 29828796048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45301386240).

29828796048 is an abundant number, since it is smaller than the sum of its proper divisors (60773976432).

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

29828796048 is a wasteful number, since it uses less digits than its factorization.

29828796048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42394 (or 42382 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

It can be divided in two parts, 2982879604 and 8, that multiplied together give a palindrome (23863036832).

The spelling of 29828796048 in words is "twenty-nine billion, eight hundred twenty-eight million, seven hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 71 72 92 108 138 142 144 184 207 213 216 276 284 368 414 426 432 552 568 621 639 828 852 1104 1136 1242 1278 1633 1656 1704 1917 2484 2556 3266 3312 3408 3834 4899 4968 5112 6532 7668 9798 9936 10224 13064 14697 15336 19596 26128 29394 30672 39192 42283 44091 58788 78384 84566 88182 117576 126849 169132 176364 235152 253698 338264 352728 380547 507396 676528 705456 761094 972509 1014792 1141641 1522188 1945018 2029584 2283282 2917527 3002093 3044376 3890036 4566564 5835054 6004186 6088752 7780072 8752581 9006279 9133128 11670108 12008372 15560144 17505162 18012558 18266256 23340216 24016744 26257743 27018837 35010324 36025116 46680432 48033488 52515486 54037674 69048139 70020648 72050232 81056511 105030972 108075348 138096278 140041296 144100464 162113022 207144417 210061944 216150696 276192556 324226044 414288834 420123888 432301392 552385112 621433251 648452088 828577668 1104770224 1242866502 1296904176 1657155336 1864299753 2485733004 3314310672 3728599506 4971466008 7457199012 9942932016 14914398024 29828796048