Search a number
-
+
1681375488 = 28313832029
BaseRepresentation
bin110010000110111…
…1100000100000000
311100011210201120020
41210031330010000
511420413003423
6434501413440
756444312232
oct14415740400
94304721506
101681375488
11793102321
123ab10a280
1320a458250
1411d438252
159c9254e3
hex6437c100

1681375488 has 144 divisors (see below), whose sum is σ = 4879600320. Its totient is φ = 510861312.

The previous prime is 1681375471. The next prime is 1681375499. The reversal of 1681375488 is 8845731861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1681375488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827658 + ... + 829686.

Almost surely, 21681375488 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 1681375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439800160).

1681375488 is an abundant number, since it is smaller than the sum of its proper divisors (3198224832).

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

1681375488 is a wasteful number, since it uses less digits than its factorization.

1681375488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2130 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 1681375488 is about 41004.5788662681. The cubic root of 1681375488 is about 1189.1087382924.

The spelling of 1681375488 in words is "one billion, six hundred eighty-one million, three hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 332 384 416 498 624 664 768 832 996 1079 1248 1328 1664 1992 2029 2158 2496 2656 3237 3328 3984 4058 4316 4992 5312 6087 6474 7968 8116 8632 9984 10624 12174 12948 15936 16232 17264 21248 24348 25896 26377 31872 32464 34528 48696 51792 52754 63744 64928 69056 79131 97392 103584 105508 129856 138112 158262 168407 194784 207168 211016 259712 276224 316524 336814 389568 414336 422032 505221 519424 633048 673628 779136 828672 844064 1010442 1266096 1347256 1558272 1688128 2020884 2189291 2532192 2694512 3376256 4041768 4378582 5064384 5389024 6567873 6752512 8083536 8757164 10128768 10778048 13135746 16167072 17514328 20257536 21556096 26271492 32334144 35028656 43112192 52542984 64668288 70057312 105085968 129336576 140114624 210171936 280229248 420343872 560458496 840687744 1681375488