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201882012672 = 2103192182041
BaseRepresentation
bin1011110000000100011…
…0110000110000000000
3201022002111121211112110
42330001012300300000
511301423243401142
6232424320055320
720404552536264
oct2740106606000
9638074554473
10201882012672
117868815117a
1233161a64540
13160641c5742
149ab20260a4
1553b87cc99c
hex2f011b0c00

201882012672 has 132 divisors (see below), whose sum is σ = 567903320376. Its totient is φ = 63751864320.

The previous prime is 201882012641. The next prime is 201882012697. The reversal of 201882012672 is 276210288102.

It is a self number, because there is not a number n which added to its sum of digits gives 201882012672.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1017972 + ... + 1200012.

Almost surely, 2201882012672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201882012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283951660188).

201882012672 is an abundant number, since it is smaller than the sum of its proper divisors (366021307704).

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

201882012672 is a wasteful number, since it uses less digits than its factorization.

201882012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182102 (or 182065 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 201882012672 in words is "two hundred one billion, eight hundred eighty-two million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1024 1083 1216 1444 1536 1824 2166 2432 2888 3072 3648 4332 4864 5776 7296 8664 9728 11552 14592 17328 19456 23104 29184 34656 46208 58368 69312 92416 138624 182041 184832 277248 364082 369664 546123 554496 728164 1092246 1108992 1456328 2184492 2912656 3458779 4368984 5825312 6917558 8737968 10376337 11650624 13835116 17475936 20752674 23301248 27670232 34951872 41505348 46602496 55340464 65716801 69903744 83010696 93204992 110680928 131433602 139807488 166021392 186409984 197150403 221361856 262867204 279614976 332042784 394300806 442723712 525734408 559229952 664085568 788601612 885447424 1051468816 1328171136 1577203224 1770894848 2102937632 2656342272 3154406448 3541789696 4205875264 5312684544 6308812896 8411750528 10625369088 12617625792 16823501056 25235251584 33647002112 50470503168 67294004224 100941006336 201882012672