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405605001396 = 223779269227219
BaseRepresentation
bin1011110011011111111…
…00010010100010110100
31102202221022100221110010
411321233330102202310
523121134340021041
6510155442500220
741206161424650
oct5715774224264
91382838327403
10405605001396
1114701a4a3961
1266738364670
132c32c92710a
14158ba74da60
15a83da09a16
hex5e6ff128b4

405605001396 has 96 divisors (see below), whose sum is σ = 1099381248000. Its totient is φ = 113994361728.

The previous prime is 405605001379. The next prime is 405605001401. The reversal of 405605001396 is 693100506504.

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, 1671475 + ... + 1898693.

It is an arithmetic number, because the mean of its divisors is an integer number (11451888000).

Almost surely, 2405605001396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405605001396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549690624000).

405605001396 is an abundant number, since it is smaller than the sum of its proper divisors (693776246604).

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

405605001396 is a wasteful number, since it uses less digits than its factorization.

405605001396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227581 (or 227579 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 405605001396 in words is "four hundred five billion, six hundred five million, one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 269 316 474 538 553 807 948 1076 1106 1614 1659 1883 2212 3228 3318 3766 5649 6636 7532 11298 21251 22596 42502 63753 85004 127506 148757 227219 255012 297514 446271 454438 595028 681657 892542 908876 1363314 1590533 1785084 2726628 3181066 4771599 6362132 9543198 17950301 19086396 35900602 53850903 61121911 71801204 107701806 122243822 125652107 183365733 215403612 244487644 251304214 366731466 376956321 427853377 502608428 733462932 753912642 855706754 1283560131 1507825284 1711413508 2567120262 4828630969 5134240524 9657261938 14485892907 19314523876 28971785814 33800416783 57943571628 67600833566 101401250349 135201667132 202802500698 405605001396