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2978978197972 = 2272191152352249
BaseRepresentation
bin101011010110011000111…
…011111111000111010100
3101112210021010001002022211
4223112120323333013110
5342301421404313342
610200305041203204
7425136566613400
oct53263073770724
911483233032284
102978978197972
11a49417592777
12401419930504
13187bbb5536aa
14a427d02a100
1552753e3bc17
hex2b598eff1d4

2978978197972 has 72 divisors (see below), whose sum is σ = 6100218432000. Its totient is φ = 1269162437760.

The previous prime is 2978978197969. The next prime is 2978978198003. The reversal of 2978978197972 is 2797918798792.

It is a super-2 number, since 2×29789781979722 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2978978197972.

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, 56988904 + ... + 57041152.

It is an arithmetic number, because the mean of its divisors is an integer number (84725256000).

Almost surely, 22978978197972 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 2978978197972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050109216000).

2978978197972 is an abundant number, since it is smaller than the sum of its proper divisors (3121240234028).

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

2978978197972 is a wasteful number, since it uses less digits than its factorization.

2978978197972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53981 (or 53972 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 85.

The spelling of 2978978197972 in words is "two trillion, nine hundred seventy-eight billion, nine hundred seventy-eight million, one hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 191 196 382 764 1337 1523 2674 3046 5348 6092 9359 10661 18718 21322 37436 42644 52249 74627 104498 149254 208996 290893 298508 365743 581786 731486 1163572 1462972 2036251 2560201 4072502 5120402 8145004 9979559 10240804 14253757 19959118 28507514 39918236 57015028 69856913 79575227 139713826 159150454 279427652 318300908 488998391 557026589 977996782 1114053178 1955993564 2228106356 3899186123 7798372246 15198868357 15596744492 30397736714 60795473428 106392078499 212784156998 425568313996 744744549493 1489489098986 2978978197972