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207358379442 = 232193143454847
BaseRepresentation
bin1100000100011110000…
…1011100010110110010
3201211020011101002110100
43001013201130112302
511344132221120232
6235131545413230
720660351100204
oct3010741342662
9654204332410
10207358379442
117aa38443625
123422ba9a216
1316727953356
14a07148a774
1555d947ec7c
hex304785c5b2

207358379442 has 96 divisors (see below), whose sum is σ = 499532267520. Its totient is φ = 61895443680.

The previous prime is 207358379441. The next prime is 207358379447. The reversal of 207358379442 is 244973853702.

It is a happy number.

207358379442 is a `hidden beast` number, since 20 + 7 + 35 + 83 + 79 + 442 = 666.

It is not an unprimeable number, because it can be changed into a prime (207358379441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 228463 + ... + 683309.

It is an arithmetic number, because the mean of its divisors is an integer number (5203461120).

Almost surely, 2207358379442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207358379442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249766133760).

207358379442 is an abundant number, since it is smaller than the sum of its proper divisors (292173888078).

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

207358379442 is a wasteful number, since it uses less digits than its factorization.

207358379442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454948 (or 454945 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 207358379442 in words is "two hundred seven billion, three hundred fifty-eight million, three hundred seventy-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 43 57 62 86 93 114 129 171 186 258 279 342 387 558 589 774 817 1178 1333 1634 1767 2451 2666 3534 3999 4902 5301 7353 7998 10602 11997 14706 23994 25327 50654 75981 151962 227943 454847 455886 909694 1364541 2729082 4093623 8187246 8642093 14100257 17284186 19558421 25926279 28200514 39116842 42300771 51852558 58675263 77778837 84601542 117350526 126902313 155557674 176025789 253804626 267904883 352051578 371609999 535809766 606311051 743219998 803714649 1114829997 1212622102 1607429298 1818933153 2229659994 2411143947 3344489991 3637866306 4822287894 5456799459 6688979982 10913598918 11519909969 23039819938 34559729907 69119459814 103679189721 207358379442