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245413131520 = 2851767168331
BaseRepresentation
bin1110010010001111000…
…0110011010100000000
3212110110021002210110111
43210203300303110000
513010101230202040
6304424035041104
723505365125234
oct3444360632400
9773407083414
10245413131520
1195096351057
123b690440194
131a1b09bb92b
14bc415725c4
1565b52bbdea
hex3923c33500

245413131520 has 144 divisors (see below), whose sum is σ = 631713636288. Its totient is φ = 91011317760.

The previous prime is 245413131497. The next prime is 245413131527. The reversal of 245413131520 is 25131314542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245413131527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373755 + ... + 1542085.

It is an arithmetic number, because the mean of its divisors is an integer number (4386900252).

Almost surely, 2245413131520 is an apocalyptic number.

245413131520 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 245413131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315856818144).

245413131520 is an abundant number, since it is smaller than the sum of its proper divisors (386300504768).

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

245413131520 is a wasteful number, since it uses less digits than its factorization.

245413131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168436 (or 168422 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 245413131520 in words is "two hundred forty-five billion, four hundred thirteen million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 67 68 80 85 128 134 136 160 170 256 268 272 320 335 340 536 544 640 670 680 1072 1088 1139 1280 1340 1360 2144 2176 2278 2680 2720 4288 4352 4556 5360 5440 5695 8576 9112 10720 10880 11390 17152 18224 21440 21760 22780 36448 42880 45560 72896 85760 91120 145792 168331 182240 291584 336662 364480 673324 728960 841655 1346648 1457920 1683310 2693296 2861627 3366620 5386592 5723254 6733240 10773184 11278177 11446508 13466480 14308135 21546368 22556354 22893016 26932960 28616270 43092736 45112708 45786032 53865920 56390885 57232540 90225416 91572064 107731840 112781770 114465080 180450832 183144128 191729009 215463680 225563540 228930160 360901664 366288256 383458018 451127080 457860320 721803328 732576512 766916036 902254160 915720640 958645045 1443606656 1533832072 1804508320 1831441280 1917290090 2887213312 3067664144 3609016640 3662882560 3834580180 6135328288 7218033280 7669160360 12270656576 14436066560 15338320720 24541313152 30676641440 49082626304 61353282880 122706565760 245413131520