Search a number
-
+
1978320778470 = 2325231285374357
BaseRepresentation
bin11100110010011101000…
…110110111010011100110
321000010101120120021211100
4130302131012313103212
5224403100104402340
64112454504020530
7262633430106411
oct34623506672346
97003346507740
101978320778470
116a3001560883
1227b4b3761746
1311472a006a3a
146ba73570b78
15366d9b14830
hex1cc9d1b74e6

1978320778470 has 96 divisors (see below), whose sum is σ = 5367760062912. Its totient is φ = 504569108736.

The previous prime is 1978320778457. The next prime is 1978320778471. The reversal of 1978320778470 is 748770238791.

1978320778470 is a `hidden beast` number, since 1 + 9 + 78 + 3 + 20 + 7 + 78 + 470 = 666.

It is a super-2 number, since 2×19783207784702 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1978320778398 and 1978320778407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978320778471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26568532 + ... + 26642888.

It is an arithmetic number, because the mean of its divisors is an integer number (55914167322).

Almost surely, 21978320778470 is an apocalyptic number.

1978320778470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1978320778470 is an abundant number, since it is smaller than the sum of its proper divisors (3389439284442).

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

1978320778470 is a wasteful number, since it uses less digits than its factorization.

1978320778470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87246 (or 87243 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 1978320778470 in words is "one trillion, nine hundred seventy-eight billion, three hundred twenty million, seven hundred seventy-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 12853 25706 38559 64265 74357 77118 115677 128530 148714 192795 223071 231354 295619 371785 385590 446142 578385 591238 669213 743570 886857 1115355 1156770 1338426 1478095 1710211 1773714 2230710 2660571 2956190 3346065 3420422 4434285 5130633 5321142 6692130 8551055 8868570 10261266 13302855 15391899 17102110 25653165 26605710 30783798 51306330 76959495 153918990 955710521 1911421042 2867131563 4778552605 5734263126 8601394689 9557105210 14335657815 17202789378 21981341983 28671315630 43006973445 43962683966 65944025949 86013946890 109906709915 131888051898 197832077847 219813419830 329720129745 395664155694 659440259490 989160389235 1978320778470