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642357424753246 = 2172919925791269391
BaseRepresentation
bin1001001000001110000111111…
…0000111110000101001011110
310010020101202210101101210001201
42102003201332013300221132
51133143341001214100441
610154102532130430114
7252205535543155156
oct22203417607605136
93106352711353051
10642357424753246
11176747288060154
1260065209a3233a
132175707850a387
14b48a39db91766
154e3e2cdb87c31
hex248387e1f0a5e

642357424753246 has 64 divisors (see below), whose sum is σ = 1061110160640000. Its totient is φ = 290282724103680.

The previous prime is 642357424753241. The next prime is 642357424753301.

642357424753246 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6423574247532462 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642357424753241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505401211 + ... + 506670601.

It is an arithmetic number, because the mean of its divisors is an integer number (16579846260000).

Almost surely, 2642357424753246 is an apocalyptic number.

642357424753246 is a deficient number, since it is larger than the sum of its proper divisors (418752735886754).

642357424753246 is a wasteful number, since it uses less digits than its factorization.

642357424753246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272217.

The product of its digits is 812851200, while the sum is 64.

The spelling of 642357424753246 in words is "six hundred forty-two trillion, three hundred fifty-seven billion, four hundred twenty-four million, seven hundred fifty-three thousand, two hundred forty-six".

Divisors: 1 2 17 29 34 58 199 398 493 986 2579 3383 5158 5771 6766 11542 43843 74791 87686 98107 149582 196214 513221 1026442 1269391 1271447 2538782 2542894 8724757 14883409 17449514 21579647 29766818 36812339 43159294 73624678 252608809 253017953 505217618 506035906 625809763 1251619526 3273759389 4294349753 6547518778 7325655461 8588699506 14651310922 55653909613 94939022281 111307819226 124536142837 189878044562 249072285674 651478118411 1302956236822 1613963378777 3227926757554 11075128012987 18892865433919 22150256025974 37785730867838 321178712376623 642357424753246