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642937091706 = 233713166778487
BaseRepresentation
bin10010101101100100000…
…10010111011001111010
32021110112101120022101000
421112302002113121322
541013213343413311
61211210005105430
764310403052260
oct11266202273172
92243471508330
10642937091706
11228739255058
12a47323b8276
1348823369650
1423192960430
1511ace61e056
hex95b209767a

642937091706 has 128 divisors (see below), whose sum is σ = 1759537704960. Its totient is φ = 169461948096.

The previous prime is 642937091677. The next prime is 642937091767. The reversal of 642937091706 is 607190739246.

It is a happy number.

642937091706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8152395 + ... + 8230881.

It is an arithmetic number, because the mean of its divisors is an integer number (13746388320).

Almost surely, 2642937091706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642937091706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879768852480).

642937091706 is an abundant number, since it is smaller than the sum of its proper divisors (1116600613254).

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

642937091706 is a wasteful number, since it uses less digits than its factorization.

642937091706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80185 (or 80179 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 642937091706 in words is "six hundred forty-two billion, nine hundred thirty-seven million, ninety-one thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 1667 2457 3334 4914 5001 10002 11669 15003 21671 23338 30006 35007 43342 45009 65013 70014 78487 90018 105021 130026 151697 156974 195039 210042 235461 303394 315063 390078 455091 470922 549409 585117 630126 706383 910182 1020331 1098818 1170234 1365273 1412766 1648227 2040662 2119149 2730546 3060993 3296454 4095819 4238298 4944681 6121986 7142317 8191638 9182979 9889362 14284634 14834043 18365958 21426951 27548937 29668086 42853902 55097874 64280853 128561706 130837829 192842559 261675658 385685118 392513487 785026974 915864803 1177540461 1700891777 1831729606 2355080922 2747594409 3401783554 3532621383 5102675331 5495188818 7065242766 8242783227 10205350662 11906242439 15308025993 16485566454 23812484878 24728349681 30616051986 35718727317 45924077979 49456699362 71437454634 91848155958 107156181951 214312363902 321468545853 642937091706