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10872155808 = 2532474012003
BaseRepresentation
bin10100010000000011…
…11110111010100000
31001001200212201222100
422020001332322200
5134231232441213
64554500010400
7533264541153
oct121001767240
931050781870
1010872155808
11467a059638
122135090a00
1310435b51b7
14751d11c9a
15439739773
hex28807eea0

10872155808 has 144 divisors (see below), whose sum is σ = 31670061696. Its totient is φ = 3536332800.

The previous prime is 10872155783. The next prime is 10872155837. The reversal of 10872155808 is 80855127801.

10872155808 is a `hidden beast` number, since 10 + 87 + 2 + 1 + 558 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5426935 + ... + 5428937.

It is an arithmetic number, because the mean of its divisors is an integer number (219930984).

Almost surely, 210872155808 is an apocalyptic number.

10872155808 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 10872155808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835030848).

10872155808 is an abundant number, since it is smaller than the sum of its proper divisors (20797905888).

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

10872155808 is a wasteful number, since it uses less digits than its factorization.

10872155808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 10872155808 in words is "ten billion, eight hundred seventy-two million, one hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 401 423 564 752 802 846 1128 1203 1504 1604 1692 2003 2256 2406 3208 3384 3609 4006 4512 4812 6009 6416 6768 7218 8012 9624 12018 12832 13536 14436 16024 18027 18847 19248 24036 28872 32048 36054 37694 38496 48072 56541 57744 64096 72108 75388 94141 96144 113082 115488 144216 150776 169623 188282 192288 226164 282423 288432 301552 339246 376564 452328 564846 576864 603104 678492 753128 803203 847269 904656 1129692 1356984 1506256 1606406 1694538 1809312 2259384 2409609 2713968 3012512 3212812 3389076 4518768 4819218 5427936 6425624 6778152 7228827 9037536 9638436 12851248 13556304 14457654 19276872 25702496 27112608 28915308 37750541 38553744 57830616 75501082 77107488 113251623 115661232 151002164 226503246 231322464 302004328 339754869 453006492 604008656 679509738 906012984 1208017312 1359019476 1812025968 2718038952 3624051936 5436077904 10872155808