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1601068656 = 2431129313373
BaseRepresentation
bin101111101101110…
…0101111001110000
311010120200201022010
41133123211321300
511234333144111
6422512242520
754450600435
oct13733457160
94116621263
101601068656
11751841640
12388240440
131c691b305
141128d1b8c
1595860aa6
hex5f6e5e70

1601068656 has 160 divisors (see below), whose sum is σ = 4819691520. Its totient is φ = 453196800.

The previous prime is 1601068643. The next prime is 1601068657. The reversal of 1601068656 is 6568601061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601068657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472986 + ... + 476358.

It is an arithmetic number, because the mean of its divisors is an integer number (30123072).

Almost surely, 21601068656 is an apocalyptic number.

1601068656 is a gapful number since it is divisible by the number (16) 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 1601068656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409845760).

1601068656 is an abundant number, since it is smaller than the sum of its proper divisors (3218622864).

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

1601068656 is a wasteful number, since it uses less digits than its factorization.

1601068656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1601068656 is about 40013.3559702257. The cubic root of 1601068656 is about 1169.8674347576.

It can be divided in two parts, 16010 and 68656, that added together give a triangular number (84666 = T411).

The spelling of 1601068656 in words is "one billion, six hundred one million, sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 31 33 44 48 58 62 66 87 88 93 116 124 132 174 176 186 232 248 264 319 341 348 372 464 496 528 638 682 696 744 899 957 1023 1276 1364 1392 1488 1798 1914 2046 2552 2697 2728 3373 3596 3828 4092 5104 5394 5456 6746 7192 7656 8184 9889 10119 10788 13492 14384 15312 16368 19778 20238 21576 26984 29667 37103 39556 40476 43152 53968 59334 74206 79112 80952 97817 104563 111309 118668 148412 158224 161904 195634 209126 222618 237336 293451 296824 313689 391268 418252 445236 474672 586902 593648 627378 782536 836504 890472 1075987 1150193 1173804 1254756 1565072 1673008 1780944 2151974 2300386 2347608 2509512 3032327 3227961 3450579 4303948 4600772 4695216 5019024 6064654 6455922 6901158 8607896 9096981 9201544 12129308 12911844 13802316 17215792 18193962 18403088 24258616 25823688 27604632 33355597 36387924 48517232 51647376 55209264 66711194 72775848 100066791 133422388 145551696 200133582 266844776 400267164 533689552 800534328 1601068656