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7103464934112 = 25358571065941
BaseRepresentation
bin110011101011110011110…
…0000010000101011100000
3221011002021200111012200000
41213113213200100223200
51412340344010342422
623035141534100000
71332131324460351
oct147274740205340
927132250435600
107103464934112
11229962084a758
1296884804a600
133c6b13c47931
141a7b49527d28
15c4b9dc1acac
hex675e7810ae0

7103464934112 has 144 divisors (see below), whose sum is σ = 20973108107952. Its totient is φ = 2365056506880.

The previous prime is 7103464934047. The next prime is 7103464934149. The reversal of 7103464934112 is 2114394643017.

It is a happy number.

7103464934112 is a `hidden beast` number, since 7 + 1 + 0 + 3 + 46 + 493 + 4 + 112 = 666.

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

It is a congruent number.

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, 6131062 + ... + 7197002.

It is an arithmetic number, because the mean of its divisors is an integer number (145646584083).

Almost surely, 27103464934112 is an apocalyptic number.

7103464934112 is a gapful number since it is divisible by the number (72) 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 7103464934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486554053976).

7103464934112 is an abundant number, since it is smaller than the sum of its proper divisors (13869643173840).

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

7103464934112 is a wasteful number, since it uses less digits than its factorization.

7103464934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066823 (or 1066803 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 7103464934112 in words is "seven trillion, one hundred three billion, four hundred sixty-four million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 857 864 972 1296 1714 1944 2571 2592 3428 3888 5142 6856 7713 7776 10284 13712 15426 20568 23139 27424 30852 41136 46278 61704 69417 82272 92556 123408 138834 185112 208251 246816 277668 370224 416502 555336 740448 833004 1065941 1110672 1666008 2131882 2221344 3197823 3332016 4263764 6395646 6664032 8527528 9593469 12791292 17055056 19186938 25582584 28780407 34110112 38373876 51165168 57560814 76747752 86341221 102330336 115121628 153495504 172682442 230243256 259023663 306991008 345364884 460486512 518047326 690729768 913511437 920973024 1036094652 1381459536 1827022874 2072189304 2740534311 2762919072 3654045748 4144378608 5481068622 7308091496 8221602933 8288757216 10962137244 14616182992 16443205866 21924274488 24664808799 29232365984 32886411732 43848548976 49329617598 65772823464 73994426397 87697097952 98659235196 131545646928 147988852794 197318470392 221983279191 263091293856 295977705588 394636940784 443966558382 591955411176 789273881568 887933116764 1183910822352 1775866233528 2367821644704 3551732467056 7103464934112