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1078164088608 = 25341432148147
BaseRepresentation
bin11111011000001111001…
…01100110011100100000
310211001221002221112111210
433230013211212130200
5120131040001313413
62143145102110120
7140615624354205
oct17540745463440
93731832845453
101078164088608
1138627957a632
12154b56b7b340
137a893c48a49
143a27d43bcac
151d0a39863c3
hexfb07966720

1078164088608 has 144 divisors (see below), whose sum is σ = 2968221031776. Its totient is φ = 342466145280.

The previous prime is 1078164088553. The next prime is 1078164088637. The reversal of 1078164088608 is 8068804618701.

1078164088608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 7203591 + ... + 7351737.

It is an arithmetic number, because the mean of its divisors is an integer number (20612646054).

Almost surely, 21078164088608 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 1078164088608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484110515888).

1078164088608 is an abundant number, since it is smaller than the sum of its proper divisors (1890056943168).

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

1078164088608 is a wasteful number, since it uses less digits than its factorization.

1078164088608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148287 (or 148236 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 1078164088608 in words is "one trillion, seventy-eight billion, one hundred sixty-four million, eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 82 86 96 123 129 164 172 246 258 328 344 492 516 656 688 984 1032 1312 1376 1763 1849 1968 2064 3526 3698 3936 4128 5289 5547 7052 7396 10578 11094 14104 14792 21156 22188 28208 29584 42312 44376 56416 59168 75809 84624 88752 148147 151618 169248 177504 227427 296294 303236 444441 454854 592588 606472 888882 909708 1185176 1212944 1777764 1819416 2370352 2425888 3555528 3638832 4740704 6074027 6370321 7111056 7277664 12148054 12740642 14222112 18222081 19110963 24296108 25481284 36444162 38221926 48592216 50962568 72888324 76443852 97184432 101925136 145776648 152887704 194368864 203850272 261183161 273923803 291553296 305775408 522366322 547847606 583106592 611550816 783549483 821771409 1044732644 1095695212 1567098966 1643542818 2089465288 2191390424 3134197932 3287085636 4178930576 4382780848 6268395864 6574171272 8357861152 8765561696 11230875923 12536791728 13148342544 22461751846 25073583456 26296685088 33692627769 44923503692 67385255538 89847007384 134770511076 179694014768 269541022152 359388029536 539082044304 1078164088608