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1073803024992 = 25389743169151
BaseRepresentation
bin11111010000000111010…
…01011101101001100000
310210122200011211112220010
433220003221131221200
5120043122033244432
62141144233244520
7140402561054055
oct17500351355140
93718604745803
101073803024992
113844408a4a25
1215413a563740
137a34a599429
1439d8817b02c
151cdeab8e3cc
hexfa03a5da60

1073803024992 has 96 divisors (see below), whose sum is σ = 2854257315840. Its totient is φ = 353434188800.

The previous prime is 1073803024963. The next prime is 1073803025033. The reversal of 1073803024992 is 2994203083701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6263617 + ... + 6432767.

It is an arithmetic number, because the mean of its divisors is an integer number (29731847040).

Almost surely, 21073803024992 is an apocalyptic number.

1073803024992 is a gapful number since it is divisible by the number (12) 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 1073803024992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427128657920).

1073803024992 is an abundant number, since it is smaller than the sum of its proper divisors (1780454290848).

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

1073803024992 is a wasteful number, since it uses less digits than its factorization.

1073803024992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169996 (or 169988 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1073803024992 in words is "one trillion, seventy-three billion, eight hundred three million, twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 743 1068 1424 1486 2136 2229 2848 2972 4272 4458 5944 8544 8916 11888 17832 23776 35664 66127 71328 132254 169151 198381 264508 338302 396762 507453 529016 676604 793524 1014906 1058032 1353208 1587048 2029812 2116064 2706416 3174096 4059624 5412832 6348192 8119248 15054439 16238496 30108878 45163317 60217756 90326634 120435512 125679193 180653268 240871024 251358386 361306536 377037579 481742048 502716772 722613072 754075158 1005433544 1445226144 1508150316 2010867088 3016300632 4021734176 6032601264 11185448177 12065202528 22370896354 33556344531 44741792708 67112689062 89483585416 134225378124 178967170832 268450756248 357934341664 536901512496 1073803024992