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80040039984 = 24323675033011
BaseRepresentation
bin100101010001011000…
…0100001011000110000
321122121010110022112100
41022202300201120300
52302410222234414
6100434143500400
75532316054152
oct1124260413060
9248533408470
1080040039984
1130a43574783
12136192b7700
137717513908
143c341dcad2
152136c7c609
hex12a2c21630

80040039984 has 120 divisors (see below), whose sum is σ = 225132590592. Its totient is φ = 26545599360.

The previous prime is 80040039953. The next prime is 80040040007. The reversal of 80040039984 is 48993004008.

It is a happy number.

80040039984 is a `hidden beast` number, since 80 + 0 + 400 + 3 + 99 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26581039 + ... + 26584049.

Almost surely, 280040039984 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 80040039984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112566295296).

80040039984 is an abundant number, since it is smaller than the sum of its proper divisors (145092550608).

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

80040039984 is a wasteful number, since it uses less digits than its factorization.

80040039984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 80040039984 in words is "eighty billion, forty million, thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 367 503 734 1006 1101 1468 1509 2012 2202 2936 3011 3018 3303 4024 4404 4527 5872 6022 6036 6606 8048 8808 9033 9054 12044 12072 13212 17616 18066 18108 24088 24144 26424 27099 36132 36216 48176 52848 54198 72264 72432 108396 144528 184601 216792 369202 433584 553803 738404 1105037 1107606 1476808 1514533 1661409 2210074 2215212 2953616 3029066 3315111 3322818 4420148 4430424 4543599 6058132 6630222 6645636 8840296 8860848 9087198 9945333 12116264 13260444 13291272 13630797 17680592 18174396 19890666 24232528 26520888 26582544 27261594 36348792 39781332 53041776 54523188 72697584 79562664 109046376 159125328 218092752 555833611 1111667222 1667500833 2223334444 3335001666 4446668888 5002502499 6670003332 8893337776 10005004998 13340006664 20010009996 26680013328 40020019992 80040039984