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420807869376 = 2632519379319
BaseRepresentation
bin1100001111110100001…
…10101000001111000000
31111020011211020122200120
412013322012220033000
523343303303310001
6521152205020240
742255003605136
oct6077206501700
91436154218616
10420807869376
11152511087664
126967b854680
13308b34c299b
141651d8a1756
15ae2d543236
hex61fa1a83c0

420807869376 has 112 divisors (see below), whose sum is σ = 1119136354560. Its totient is φ = 139546368000.

The previous prime is 420807869357. The next prime is 420807869387. The reversal of 420807869376 is 673968708024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45151245 + ... + 45160563.

It is an arithmetic number, because the mean of its divisors is an integer number (9992288880).

Almost surely, 2420807869376 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 420807869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559568177280).

420807869376 is an abundant number, since it is smaller than the sum of its proper divisors (698328485184).

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

420807869376 is a wasteful number, since it uses less digits than its factorization.

420807869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 420807869376 in words is "four hundred twenty billion, eight hundred seven million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 937 1004 1506 1874 2008 2811 3012 3748 4016 5622 6024 7496 8032 9319 11244 12048 14992 16064 18638 22488 24096 27957 29984 37276 44976 48192 55914 59968 74552 89952 111828 149104 179904 223656 235187 298208 447312 470374 596416 705561 894624 940748 1411122 1789248 1881496 2339069 2822244 3762992 4678138 5644488 7017207 7525984 8731903 9356276 11288976 14034414 15051968 17463806 18712552 22577952 26195709 28068828 34927612 37425104 45155904 52391418 56137656 69855224 74850208 104782836 112275312 139710448 149700416 209565672 224550624 279420896 419131344 449101248 558841792 838262688 1676525376 2191707653 4383415306 6575122959 8766830612 13150245918 17533661224 26300491836 35067322448 52600983672 70134644896 105201967344 140269289792 210403934688 420807869376