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29917994112 = 27347733733
BaseRepresentation
bin11011110111010000…
…000101110010000000
32212020000222120110000
4123313100011302000
5442233001302422
621424422240000
72106252516426
oct336720056200
985200876400
1029917994112
1111762a22876
12596b586000
132a8a3b19c6
14163b5bd116
15ba182acac
hex6f7405c80

29917994112 has 160 divisors (see below), whose sum is σ = 89174529180. Its totient is φ = 9957095424.

The previous prime is 29917994107. The next prime is 29917994131. The reversal of 29917994112 is 21149971992.

It can be written as a sum of positive squares in 2 ways, for example, as 28215936576 + 1702057536 = 167976^2 + 41256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8012598 + ... + 8016330.

Almost surely, 229917994112 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 29917994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44587264590).

29917994112 is an abundant number, since it is smaller than the sum of its proper divisors (59256535068).

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

29917994112 is an equidigital number, since it uses as much as digits as its factorization.

29917994112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4511 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The spelling of 29917994112 in words is "twenty-nine billion, nine hundred seventeen million, nine hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 773 864 1152 1296 1546 1728 2319 2592 3092 3456 3733 4638 5184 6184 6957 7466 9276 10368 11199 12368 13914 14932 18552 20871 22398 24736 27828 29864 33597 37104 41742 44796 49472 55656 59728 62613 67194 74208 83484 89592 98944 100791 111312 119456 125226 134388 148416 166968 179184 201582 222624 238912 250452 268776 296832 302373 333936 358368 403164 445248 477824 500904 537552 604746 667872 716736 806328 890496 1001808 1075104 1209492 1335744 1433472 1612656 2003616 2150208 2418984 2671488 2885609 3225312 4007232 4300416 4837968 5771218 6450624 8014464 8656827 9675936 11542436 12901248 17313654 19351872 23084872 25970481 34627308 38703744 46169744 51940962 69254616 77911443 92339488 103881924 138509232 155822886 184678976 207763848 233734329 277018464 311645772 369357952 415527696 467468658 554036928 623291544 831055392 934937316 1108073856 1246583088 1662110784 1869874632 2493166176 3324221568 3739749264 4986332352 7479498528 9972664704 14958997056 29917994112