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464220426042 = 2322910127132491
BaseRepresentation
bin1101100000101011011…
…00011000111100111010
31122101020022122000212200
412300111230120330322
530101210412113132
6553132050451030
745352546341552
oct6602554307472
91571208560780
10464220426042
11169969367a6a
1275b76593a76
1334a11576539
141867b388162
15c11e912d7c
hex6c15b18f3a

464220426042 has 96 divisors (see below), whose sum is σ = 1054705916160. Its totient is φ = 147374640000.

The previous prime is 464220426041. The next prime is 464220426067. The reversal of 464220426042 is 240624022464.

464220426042 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 2 + 0 + 42 + 604 + 2 = 666.

464220426042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 464220425988 and 464220426006.

It is not an unprimeable number, because it can be changed into a prime (464220426041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14271417 + ... + 14303907.

It is an arithmetic number, because the mean of its divisors is an integer number (10986519960).

Almost surely, 2464220426042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464220426042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527352958080).

464220426042 is an abundant number, since it is smaller than the sum of its proper divisors (590485490118).

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

464220426042 is a wasteful number, since it uses less digits than its factorization.

464220426042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32900 (or 32897 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 464 and 220426042, that added together give a triangular number (220426506 = T20996).

The spelling of 464220426042 in words is "four hundred sixty-four billion, two hundred twenty million, four hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 271 303 522 542 606 813 909 1626 1818 2439 2929 4878 5858 7859 8787 15718 17574 23577 26361 27371 32491 47154 52722 54742 64982 70731 82113 97473 141462 164226 194946 246339 292419 492678 584838 793759 942239 1587518 1884478 2381277 2826717 3281591 4762554 5653434 6563182 7143831 8480151 8805061 9844773 14287662 16960302 17610122 19689546 26415183 29534319 52830366 59068638 79245549 95166139 158491098 190332278 255346769 285498417 510693538 570996834 766040307 856495251 889311161 1532080614 1712990502 1778622322 2298120921 2667933483 4596241842 5335866966 8003800449 16007600898 25790023669 51580047338 77370071007 154740142014 232110213021 464220426042