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1368972648 = 2332192311699
BaseRepresentation
bin101000110011000…
…1101110101101000
310112101222000102200
41101212031311220
510300424111043
6343501500200
745632034621
oct12146156550
93471860380
101368972648
1164282745a
12322571660
1318a806cb4
14cdb56a48
15802b67d3
hex5198dd68

1368972648 has 144 divisors (see below), whose sum is σ = 4041648000. Its totient is φ = 418115520.

The previous prime is 1368972613. The next prime is 1368972653. The reversal of 1368972648 is 8462798631.

It is a super-2 number, since 2×13689726482 = 3748172221944263808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1368972594 and 1368972603.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804903 + ... + 806601.

It is an arithmetic number, because the mean of its divisors is an integer number (28067000).

Almost surely, 21368972648 is an apocalyptic number.

1368972648 is a gapful number since it is divisible by the number (18) 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 1368972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020824000).

1368972648 is an abundant number, since it is smaller than the sum of its proper divisors (2672675352).

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

1368972648 is a wasteful number, since it uses less digits than its factorization.

1368972648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1754 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 1368972648 is about 36999.6303765321. The cubic root of 1368972648 is about 1110.3628519112.

The spelling of 1368972648 in words is "one billion, three hundred sixty-eight million, nine hundred seventy-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 361 372 456 558 589 684 722 744 1083 1116 1178 1368 1444 1699 1767 2166 2232 2356 2888 3249 3398 3534 4332 4712 5097 5301 6498 6796 7068 8664 10194 10602 11191 12996 13592 14136 15291 20388 21204 22382 25992 30582 32281 33573 40776 42408 44764 52669 61164 64562 67146 89528 96843 100719 105338 122328 129124 134292 158007 193686 201438 210676 258248 268584 290529 316014 387372 402876 421352 474021 581058 613339 632028 774744 805752 948042 1000711 1162116 1226678 1264056 1840017 1896084 2001422 2324232 2453356 3002133 3680034 3792168 4002844 4906712 5520051 6004266 7360068 8005688 9006399 11040102 12008532 14720136 18012798 19013509 22080204 24017064 36025596 38027018 44160408 57040527 72051192 76054036 114081054 152108072 171121581 228162108 342243162 456324216 684486324 1368972648