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1993897152 = 263213220483
BaseRepresentation
bin111011011011000…
…0111010011000000
312010221212110200200
41312312013103000
513040414202102
6525504045200
7100260563142
oct16666072300
95127773620
101993897152
11933559495
12477903800
1325a11b600
1414cb4ac92
15ba0a951c
hex76d874c0

1993897152 has 126 divisors (see below), whose sum is σ = 6188892372. Its totient is φ = 613476864.

The previous prime is 1993897151. The next prime is 1993897193. The reversal of 1993897152 is 2517983991.

1993897152 is a `hidden beast` number, since 199 + 389 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×19938971522 = 7951251705507422208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1993897151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 87103 + ... + 107585.

Almost surely, 21993897152 is an apocalyptic number.

1993897152 is a gapful number since it is divisible by the number (12) 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 1993897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094446186).

1993897152 is an abundant number, since it is smaller than the sum of its proper divisors (4194995220).

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

1993897152 is a wasteful number, since it uses less digits than its factorization.

1993897152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527 (or 20501 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 1993897152 is about 44653.0755043816. The cubic root of 1993897152 is about 1258.6382264194.

The spelling of 1993897152 in words is "one billion, nine hundred ninety-three million, eight hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 20483 24336 32448 40966 48672 61449 81932 97344 122898 163864 184347 245796 266279 327728 368694 491592 532558 655456 737388 798837 983184 1065116 1310912 1474776 1597674 1966368 2130232 2396511 2949552 3195348 3461627 3932736 4260464 4793022 5899104 6390696 6923254 8520928 9586044 10384881 11798208 12781392 13846508 17041856 19172088 20769762 25562784 27693016 31154643 38344176 41539524 51125568 55386032 62309286 76688352 83079048 110772064 124618572 153376704 166158096 221544128 249237144 332316192 498474288 664632384 996948576 1993897152