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73052029960 = 23571379254041
BaseRepresentation
bin100010000001000111…
…1011000010000001000
320222120010021121220021
41010002033120100020
52144102304424320
653320514310224
75164204003120
oct1040217302010
9228503247807
1073052029960
1128a87a6a388
12121a8b88374
136b72848240
1437700c3c80
151d78530daa
hex11023d8408

73052029960 has 128 divisors (see below), whose sum is σ = 204859468800. Its totient is φ = 22827018240.

The previous prime is 73052029943. The next prime is 73052029979. The reversal of 73052029960 is 6992025037.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160540 + ... + 414580.

It is an arithmetic number, because the mean of its divisors is an integer number (1600464600).

Almost surely, 273052029960 is an apocalyptic number.

73052029960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73052029960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102429734400).

73052029960 is an abundant number, since it is smaller than the sum of its proper divisors (131807438840).

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

73052029960 is a wasteful number, since it uses less digits than its factorization.

73052029960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254151 (or 254147 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 73052029960 in words is "seventy-three billion, fifty-two million, twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 79 91 104 130 140 158 182 260 280 316 364 395 455 520 553 632 728 790 910 1027 1106 1580 1820 2054 2212 2765 3160 3640 4108 4424 5135 5530 7189 8216 10270 11060 14378 20540 22120 28756 35945 41080 57512 71890 143780 254041 287560 508082 1016164 1270205 1778287 2032328 2540410 3302533 3556574 5080820 6605066 7113148 8891435 10161640 13210132 14226296 16512665 17782870 20069239 23117731 26420264 33025330 35565740 40138478 46235462 66050660 71131480 80276956 92470924 100346195 115588655 132101320 140484673 160553912 184941848 200692390 231177310 260900107 280969346 401384780 462354620 521800214 561938692 702423365 802769560 924709240 1043600428 1123877384 1304500535 1404846730 1826300749 2087200856 2609001070 2809693460 3652601498 5218002140 5619386920 7305202996 9131503745 10436004280 14610405992 18263007490 36526014980 73052029960