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202312491248 = 2473533491993
BaseRepresentation
bin1011110001101011000…
…0111010000011110000
3201100012111122102010102
42330122300322003300
511303313444204443
6232535134451532
720421330542000
oct2743260720360
9640174572112
10202312491248
117888914409a
1233262063ba8
1316102448aaa
149b13282000
1553e14b1cb8
hex2f1ac3a0f0

202312491248 has 160 divisors (see below), whose sum is σ = 467313840000. Its totient is φ = 84783089664.

The previous prime is 202312491239. The next prime is 202312491289. The reversal of 202312491248 is 842194213202.

It is a super-2 number, since 2×2023124912482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 101510540 + ... + 101512532.

It is an arithmetic number, because the mean of its divisors is an integer number (2920711500).

Almost surely, 2202312491248 is an apocalyptic number.

202312491248 is a gapful number since it is divisible by the number (28) 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 202312491248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233656920000).

202312491248 is an abundant number, since it is smaller than the sum of its proper divisors (265001348752).

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

202312491248 is a wasteful number, since it uses less digits than its factorization.

202312491248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 202312491248 in words is "two hundred two billion, three hundred twelve million, four hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 349 371 392 424 686 698 742 784 848 1372 1396 1484 1993 2443 2597 2744 2792 2968 3986 4886 5194 5488 5584 5936 7972 9772 10388 13951 15944 17101 18179 18497 19544 20776 27902 31888 34202 36358 36994 39088 41552 55804 68404 72716 73988 97657 105629 111608 119707 129479 136808 145432 147976 195314 211258 223216 239414 258958 273616 290864 295952 390628 422516 478828 517916 683599 695557 739403 781256 845032 906353 957656 1035832 1367198 1391114 1478806 1562512 1690064 1812706 1915312 2071664 2734396 2782228 2957612 3625412 4868899 5175821 5468792 5564456 5915224 6344471 7250824 9737798 10351642 10937584 11128912 11830448 12688942 14501648 19475596 20703284 25377884 34082293 36230747 36864521 38951192 41406568 50755768 68164586 72461494 73729042 77902384 82813136 101511536 136329172 144922988 147458084 238576051 258051647 272658344 289845976 294916168 477152102 516103294 545316688 579691952 589832336 954304204 1032206588 1806361529 1908608408 2064413176 3612723058 3817216816 4128826352 7225446116 12644530703 14450892232 25289061406 28901784464 50578122812 101156245624 202312491248