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1220072352384 = 27319197848857
BaseRepresentation
bin10001110000010001111…
…110101010101010000000
311022122012221101021001010
4101300101332222222000
5124442202010234014
62332254332440520
7154101346611564
oct21602176525200
94278187337033
101220072352384
11430480043576
1217855b919140
138b08ac75ab2
14430a22856a4
1521b0be99359
hex11c11faaa80

1220072352384 has 128 divisors (see below), whose sum is σ = 3428707233600. Its totient is φ = 383329787904.

The previous prime is 1220072352377. The next prime is 1220072352397. The reversal of 1220072352384 is 4832532700221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1012884 + ... + 1861740.

Almost surely, 21220072352384 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 1220072352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714353616800).

1220072352384 is an abundant number, since it is smaller than the sum of its proper divisors (2208634881216).

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

1220072352384 is a wasteful number, since it uses less digits than its factorization.

1220072352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849090 (or 849078 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1220072352384 in words is "one trillion, two hundred twenty billion, seventy-two million, three hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 197 228 304 384 394 456 591 608 788 912 1182 1216 1576 1824 2364 2432 3152 3648 3743 4728 6304 7296 7486 9456 11229 12608 14972 18912 22458 25216 29944 37824 44916 59888 75648 89832 119776 179664 239552 359328 479104 718656 848857 1437312 1697714 2546571 3395428 5093142 6790856 10186284 13581712 16128283 20372568 27163424 32256566 40745136 48384849 54326848 64513132 81490272 96769698 108653696 129026264 162980544 167224829 193539396 258052528 325961088 334449658 387078792 501674487 516105056 668899316 774157584 1003348974 1032210112 1337798632 1548315168 2006697948 2064420224 2675597264 3096630336 3177271751 4013395896 5351194528 6193260672 6354543502 8026791792 9531815253 10702389056 12709087004 16053583584 19063630506 21404778112 25418174008 32107167168 38127261012 50836348016 64214334336 76254522024 101672696032 152509044048 203345392064 305018088096 406690784128 610036176192 1220072352384