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245321424341520 = 243513720633616633
BaseRepresentation
bin110111110001111001011000…
…010110101000101000010000
31012011121111110212021112112120
4313301321120112220220100
5224123321234112412040
62225431035001254240
7102446613406066212
oct6761713026505020
91164544425245476
10245321424341520
117119226058504a
1223620b28794380
13a6b6932246157
14448189811a5b2
151d5658e9a97d0
hexdf1e585a8a10

245321424341520 has 160 divisors (see below), whose sum is σ = 766419023043072. Its totient is φ = 64910038081536.

The previous prime is 245321424341431. The next prime is 245321424341533. The reversal of 245321424341520 is 25143424123542.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66023124 + ... + 69639756.

Almost surely, 2245321424341520 is an apocalyptic number.

245321424341520 is a gapful number since it is divisible by the number (20) 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 245321424341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383209511521536).

245321424341520 is an abundant number, since it is smaller than the sum of its proper divisors (521097598701552).

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

245321424341520 is a wasteful number, since it uses less digits than its factorization.

245321424341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618849 (or 3618843 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 245321424341520 in words is "two hundred forty-five trillion, three hundred twenty-one billion, four hundred twenty-four million, three hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2063 2192 2740 3288 4110 4126 5480 6189 6576 8220 8252 10315 10960 12378 16440 16504 20630 24756 30945 32880 33008 41260 49512 61890 82520 99024 123780 165040 247560 282631 495120 565262 847893 1130524 1413155 1695786 2261048 2826310 3391572 3616633 4239465 4522096 5652620 6783144 7233266 8478930 10849899 11305240 13566288 14466532 16957860 18083165 21699798 22610480 28933064 33915720 36166330 43399596 54249495 57866128 67831440 72332660 86799192 108498990 144665320 173598384 216997980 289330640 433995960 495478721 867991920 990957442 1486436163 1981914884 2477393605 2972872326 3963829768 4954787210 5945744652 7432180815 7461113879 7927659536 9909574420 11891489304 14864361630 14922227758 19819148840 22383341637 23782978608 29728723260 29844455516 37305569395 39638297680 44766683274 59457446520 59688911032 74611138790 89533366548 111916708185 118914893040 119377822064 149222277580 179066733096 223833416370 298444555160 358133466192 447666832740 596889110320 895333665480 1022172601423 1790667330960 2044345202846 3066517804269 4088690405692 5110863007115 6133035608538 8177380811384 10221726014230 12266071217076 15332589021345 16354761622768 20443452028460 24532142434152 30665178042690 40886904056920 49064284868304 61330356085380 81773808113840 122660712170760 245321424341520