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29007203907120 = 2435196911992033
BaseRepresentation
bin1101001100001110001000…
…00101011011011000110000
310210201001122220200201202220
412212013010011123120300
512300223223200011440
6141405420413241040
76052462361005635
oct646070405333060
9123631586621686
1029007203907120
11927398243120a
123305959a93180
1313254a17a115a
14723d559bc18c
15354825c088d0
hex1a61c415b630

29007203907120 has 160 divisors (see below), whose sum is σ = 94657484390400. Its totient is φ = 7327950077952.

The previous prime is 29007203907107. The next prime is 29007203907151. The reversal of 29007203907120 is 2170930270092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315136624 + ... + 315228656.

It is an arithmetic number, because the mean of its divisors is an integer number (591609277440).

Almost surely, 229007203907120 is an apocalyptic number.

29007203907120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29007203907120 is an abundant number, since it is smaller than the sum of its proper divisors (65650280483280).

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

29007203907120 is a wasteful number, since it uses less digits than its factorization.

29007203907120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161187 (or 161181 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 29007203907120 in words is "twenty-nine trillion, seven billion, two hundred three million, nine hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 69119 92033 138238 184066 207357 276099 276476 345595 368132 414714 460165 552198 552952 691190 736264 829428 920330 1036785 1104396 1105904 1313261 1380495 1382380 1472528 1658856 1748627 1840660 2073570 2208792 2626522 2760990 2764760 3317712 3497254 3681320 3939783 4147140 4417584 5245881 5253044 5521980 5529520 6566305 6994508 7362640 7879566 8294280 8743135 10491762 10506088 11043960 13132610 13989016 15759132 16588560 17486270 19698915 20983524 21012176 22087920 26229405 26265220 27978032 31518264 34972540 39397830 41967048 52458810 52530440 63036528 69945080 78795660 83934096 104917620 105060880 139890160 157591320 209835240 315182640 419670480 6361228927 12722457854 19083686781 25444915708 31806144635 38167373562 50889831416 63612289270 76334747124 95418433905 101779662832 120863349613 127224578540 152669494248 190836867810 241726699226 254449157080 305338988496 362590048839 381673735620 483453398452 508898314160 604316748065 725180097678 763347471240 966906796904 1208633496130 1450360195356 1526694942480 1812950244195 1933813593808 2417266992260 2900720390712 3625900488390 4834533984520 5801440781424 7251800976780 9669067969040 14503601953560 29007203907120