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1990515744 = 253271377207
BaseRepresentation
bin111011010100100…
…1101110000100000
312010201111200021100
41312221031300200
513034033000434
6525303354400
7100220050620
oct16651156040
95121450240
101990515744
11931659a38
12476752a00
13259506489
1414c50a880
15b9b3c699
hex76a4dc20

1990515744 has 144 divisors (see below), whose sum is σ = 6517300608. Its totient is φ = 564489216.

The previous prime is 1990515731. The next prime is 1990515767. The reversal of 1990515744 is 4475150991.

1990515744 is a `hidden beast` number, since 1 + 9 + 90 + 515 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19905157442 = 7924305854223747072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1990515744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272589 + ... + 279795.

It is an arithmetic number, because the mean of its divisors is an integer number (45259032).

Almost surely, 21990515744 is an apocalyptic number.

1990515744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990515744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258650304).

1990515744 is an abundant number, since it is smaller than the sum of its proper divisors (4526784864).

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

1990515744 is a wasteful number, since it uses less digits than its factorization.

1990515744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1990515744 is about 44615.1963348812. The cubic root of 1990515744 is about 1257.9263245204.

The spelling of 1990515744 in words is "one billion, nine hundred ninety million, five hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 137 144 168 224 252 274 288 336 411 504 548 672 822 959 1008 1096 1233 1644 1918 2016 2192 2466 2877 3288 3836 4384 4932 5754 6576 7207 7672 8631 9864 11508 13152 14414 15344 17262 19728 21621 23016 28828 30688 34524 39456 43242 46032 50449 57656 64863 69048 86484 92064 100898 115312 129726 138096 151347 172968 201796 230624 259452 276192 302694 345936 403592 454041 518904 605388 691872 807184 908082 987359 1037808 1210776 1614368 1816164 1974718 2075616 2421552 2962077 3632328 3949436 4843104 5924154 6911513 7264656 7898872 8886231 11848308 13823026 14529312 15797744 17772462 20734539 23696616 27646052 31595488 35544924 41469078 47393232 55292104 62203617 71089848 82938156 94786464 110584208 124407234 142179696 165876312 221168416 248814468 284359392 331752624 497628936 663505248 995257872 1990515744