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10012744240 = 2457311531487
BaseRepresentation
bin10010101001100111…
…00101101000110000
3221211210202002221021
421110303211220300
5131001230303430
64333315505224
7503060631112
oct112463455060
927753662837
1010012744240
114278a29a44
121b352b8214
13c37530145
146adb1d3b2
153d907907a
hex254ce5a30

10012744240 has 80 divisors (see below), whose sum is σ = 23634880128. Its totient is φ = 3944153088.

The previous prime is 10012744229. The next prime is 10012744253. The reversal of 10012744240 is 4244721001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 6732777 + ... + 6734263.

Almost surely, 210012744240 is an apocalyptic number.

10012744240 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 10012744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817440064).

10012744240 is an abundant number, since it is smaller than the sum of its proper divisors (13622135888).

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

10012744240 is a wasteful number, since it uses less digits than its factorization.

10012744240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 10012744240 in words is "ten billion, twelve million, seven hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1153 1168 1460 1487 2306 2920 2974 4612 5765 5840 5948 7435 9224 11530 11896 14870 18448 23060 23792 29740 46120 59480 84169 92240 108551 118960 168338 217102 336676 420845 434204 542755 673352 841690 868408 1085510 1346704 1683380 1714511 1736816 2171020 3366760 3429022 4342040 6733520 6858044 8572555 8684080 13716088 17145110 27432176 34290220 68580440 125159303 137160880 250318606 500637212 625796515 1001274424 1251593030 2002548848 2503186060 5006372120 10012744240