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126981899840 = 2651773319757
BaseRepresentation
bin111011001000010110…
…1100000011001000000
3110010202120211212112102
41312100231200121000
54040024331243330
6134200142445532
712113505224345
oct1662055403100
9403676755472
10126981899840
1149941a76884
1220739b938a8
13bc88823853
1462087107cc
153482de6945
hex1d90b60640

126981899840 has 112 divisors (see below), whose sum is σ = 324549253872. Its totient is φ = 47149940736.

The previous prime is 126981899839. The next prime is 126981899861. The reversal of 126981899840 is 48998189621.

It can be written as a sum of positive squares in 8 ways, for example, as 23658496 + 126958241344 = 4864^2 + 356312^2 .

It is a super-2 number, since 2×1269818998402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237242 + ... + 556998.

Almost surely, 2126981899840 is an apocalyptic number.

126981899840 is a gapful number since it is divisible by the number (10) 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 126981899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162274626936).

126981899840 is an abundant number, since it is smaller than the sum of its proper divisors (197567354032).

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

126981899840 is a wasteful number, since it uses less digits than its factorization.

126981899840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319864 (or 319854 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 65.

The spelling of 126981899840 in words is "one hundred twenty-six billion, nine hundred eighty-one million, eight hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 73 80 85 136 146 160 170 272 292 320 340 365 544 584 680 730 1088 1168 1241 1360 1460 2336 2482 2720 2920 4672 4964 5440 5840 6205 9928 11680 12410 19856 23360 24820 39712 49640 79424 99280 198560 319757 397120 639514 1279028 1598785 2558056 3197570 5116112 5435869 6395140 10232224 10871738 12790280 20464448 21743476 23342261 25580560 27179345 43486952 46684522 51161120 54358690 86973904 93369044 102322240 108717380 116711305 173947808 186738088 217434760 233422610 347895616 373476176 396818437 434869520 466845220 746952352 793636874 869739040 933690440 1493904704 1587273748 1739478080 1867380880 1984092185 3174547496 3734761760 3968184370 6349094992 7469523520 7936368740 12698189984 15872737480 25396379968 31745474960 63490949920 126981899840