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42322664345759 = 7217306735714639
BaseRepresentation
bin10011001111110000000110…
…10111111101000010011111
312112212000012020122221112222
421213320003113331002133
521021403304033031014
6230002432534015555
711625466035166100
oct1147700327750237
9175760166587488
1042322664345759
1112537a39745616
1248b64ba7a75bb
131a800193172c5
14a645dc1843a7
154d5d99eb508e
hex267e035fd09f

42322664345759 has 48 divisors (see below), whose sum is σ = 52171358653440. Its totient is φ = 34114607896320.

The previous prime is 42322664345743. The next prime is 42322664345761. The reversal of 42322664345759 is 95754346622324.

It is not a de Polignac number, because 42322664345759 - 24 = 42322664345743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322664345779) 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, 9123227762 + ... + 9123232400.

It is an arithmetic number, because the mean of its divisors is an integer number (1086903305280).

Almost surely, 242322664345759 is an apocalyptic number.

42322664345759 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42322664345759 is a deficient number, since it is larger than the sum of its proper divisors (9848694307681).

42322664345759 is a wasteful number, since it uses less digits than its factorization.

42322664345759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308 (or 11301 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 62.

The spelling of 42322664345759 in words is "forty-two trillion, three hundred twenty-two billion, six hundred sixty-four million, three hundred forty-five thousand, seven hundred fifty-nine".

Divisors: 1 7 17 49 119 833 3067 3571 4639 21469 24997 32473 52139 60707 78863 150283 174979 227311 364973 424949 552041 2554811 2974643 3864287 10952257 14227813 16565869 76665799 99594691 115961083 186188369 241872821 281619773 536660593 697162837 811727581 1303318583 1693109747 1971338411 9123230081 11851768229 13799368877 50807520223 355652641561 863727843791 2489568490927 6046094906537 42322664345759