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421806856368 = 243435922715259
BaseRepresentation
bin1100010001101011010…
…01011101100010110000
31111022202110000110012210
412020311221131202300
523402330023400433
6521435252452120
742321524056512
oct6106551354260
91438673013183
10421806856368
11152983a79347
12698ba31a040
1330a12466a51
14165b6427bb2
15ae8b0c4463
hex6235a5d8b0

421806856368 has 160 divisors (see below), whose sum is σ = 1138977100800. Its totient is φ = 134401252608.

The previous prime is 421806856349. The next prime is 421806856417. The reversal of 421806856368 is 863658608124.

It is a super-3 number, since 3×4218068563683 (a number of 36 digits) contains 333 as substring.

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, 27635523 + ... + 27650781.

It is an arithmetic number, because the mean of its divisors is an integer number (7118606880).

Almost surely, 2421806856368 is an apocalyptic number.

421806856368 is a gapful number since it is divisible by the number (48) 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 421806856368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569488550400).

421806856368 is an abundant number, since it is smaller than the sum of its proper divisors (717170244432).

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

421806856368 is a wasteful number, since it uses less digits than its factorization.

421806856368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15599 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 421806856368 in words is "four hundred twenty-one billion, eight hundred six million, eight hundred fifty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 227 236 258 344 354 454 472 516 681 688 708 908 944 1032 1362 1416 1816 2064 2537 2724 2832 3632 5074 5448 7611 9761 10148 10896 13393 15222 15259 19522 20296 26786 29283 30444 30518 39044 40179 40592 45777 53572 58566 60888 61036 78088 80358 91554 107144 117132 121776 122072 156176 160716 183108 214288 234264 244144 321432 366216 468528 575899 642864 656137 732432 900281 1151798 1312274 1727697 1800562 1968411 2303596 2624548 2700843 3455394 3463793 3601124 3936822 4607192 5249096 5401686 6910788 6927586 7202248 7873644 9214384 10391379 10498192 10803372 13821576 13855172 14404496 15747288 20782758 21606744 27643152 27710344 31494576 38712083 41565516 43213488 55420688 77424166 83131032 116136249 148943099 154848332 166262064 204363787 232272498 297886198 309696664 408727574 446829297 464544996 595772396 613091361 619393328 817455148 893658594 929089992 1191544792 1226182722 1634910296 1787317188 1858179984 2383089584 2452365444 3269820592 3574634376 4904730888 7149268752 8787642841 9809461776 17575285682 26362928523 35150571364 52725857046 70301142728 105451714092 140602285456 210903428184 421806856368