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420655657008 = 243791014110939
BaseRepresentation
bin1100001111100010000…
…01111111000000110000
31111012210012211110120110
412013301001333000300
523343000322011013
6521125130341320
742251145042246
oct6076101770060
91435705743513
10420655657008
11152443174214
126963888a840
133088aacaab2
141650759c796
15ae1eec82c3
hex61f107f030

420655657008 has 80 divisors (see below), whose sum is σ = 1100658521600. Its totient is φ = 138417327360.

The previous prime is 420655656991. The next prime is 420655657043. The reversal of 420655657008 is 800756556024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 38449203 + ... + 38460141.

It is an arithmetic number, because the mean of its divisors is an integer number (13758231520).

Almost surely, 2420655657008 is an apocalyptic number.

420655657008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420655657008 is an abundant number, since it is smaller than the sum of its proper divisors (680002864592).

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

420655657008 is a wasteful number, since it uses less digits than its factorization.

420655657008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21170 (or 21164 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 420655657008 in words is "four hundred twenty billion, six hundred fifty-five million, six hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 10141 10939 20282 21878 30423 32817 40564 43756 60846 65634 81128 87512 121692 131268 162256 175024 243384 262536 486768 525072 801139 864181 1602278 1728362 2403417 2592543 3204556 3456724 4806834 5185086 6409112 6913448 9613668 10370172 12818224 13826896 19227336 20740344 38454672 41480688 110932399 221864798 332797197 443729596 665594394 887459192 1331188788 1774918384 2662377576 5324755152 8763659521 17527319042 26290978563 35054638084 52581957126 70109276168 105163914252 140218552336 210327828504 420655657008