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249049403648 = 284915213803
BaseRepresentation
bin1110011111110010000…
…0000101000100000000
3212210211200101120001222
43213330200011010000
513040023121404043
6310224533014212
723664451000553
oct3477440050400
9783750346058
10249049403648
1196691994131
1240326184368
131a64015b846
14c0a848469a
156729645d68
hex39fc805100

249049403648 has 72 divisors (see below), whose sum is σ = 499225791456. Its totient is φ = 123999948800.

The previous prime is 249049403639. The next prime is 249049403653. The reversal of 249049403648 is 846304940942.

It is a self number, because there is not a number n which added to its sum of digits gives 249049403648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65485715 + ... + 65489517.

It is an arithmetic number, because the mean of its divisors is an integer number (6933691548).

Almost surely, 2249049403648 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 249049403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249612895728).

249049403648 is an abundant number, since it is smaller than the sum of its proper divisors (250176387808).

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

249049403648 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (249049403649) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4817).

249049403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 249049403648 in words is "two hundred forty-nine billion, forty-nine million, four hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 491 521 982 1042 1964 2084 3803 3928 4168 7606 7856 8336 15212 15712 16672 30424 31424 33344 60848 62848 66688 121696 125696 133376 243392 255811 486784 511622 973568 1023244 1867273 1981363 2046488 3734546 3962726 4092976 7469092 7925452 8185952 14938184 15850904 16371904 29876368 31701808 32743808 59752736 63403616 65487616 119505472 126807232 239010944 253614464 478021888 507228928 972849233 1945698466 3891396932 7782793864 15565587728 31131175456 62262350912 124524701824 249049403648