Search a number
-
+
30621126040056 = 233216713011957469
BaseRepresentation
bin1101111011001100010010…
…10101110001100111111000
311000102100110220220211210100
412331212021111301213320
513003144031231240211
6145043052345515400
76310206022540566
oct675461125614770
9130370426824710
1030621126040056
11983638a3a4192
1235266b51a2b60
131411737b41776
1477c0db2b2a36
153817d468e156
hex1bd9895719f8

30621126040056 has 96 divisors (see below), whose sum is σ = 83492985794400. Its totient is φ = 10138118265600.

The previous prime is 30621126039971. The next prime is 30621126040069. The reversal of 30621126040056 is 65004062112603.

30621126040056 is a `hidden beast` number, since 3 + 0 + 621 + 1 + 26 + 0 + 4 + 0 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30621126040056.

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, 14664490 + ... + 16621958.

It is an arithmetic number, because the mean of its divisors is an integer number (869718602025).

Almost surely, 230621126040056 is an apocalyptic number.

30621126040056 is a gapful number since it is divisible by the number (36) 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 30621126040056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41746492897200).

30621126040056 is an abundant number, since it is smaller than the sum of its proper divisors (52871859754344).

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

30621126040056 is a wasteful number, since it uses less digits than its factorization.

30621126040056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958949 (or 1958942 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 30621126040056 its reverse (65004062112603), we get a palindrome (95625188152659).

The spelling of 30621126040056 in words is "thirty trillion, six hundred twenty-one billion, one hundred twenty-six million, forty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1301 1336 1503 2004 2602 3006 3903 4008 5204 6012 7806 10408 11709 12024 15612 23418 31224 46836 93672 217267 434534 651801 869068 1303602 1738136 1955403 1957469 2607204 3910806 3914938 5214408 5872407 7821612 7829876 11744814 15643224 15659752 17617221 23489628 35234442 46979256 70468884 140937768 326897323 653794646 980691969 1307589292 1961383938 2546667169 2615178584 2942075907 3922767876 5093334338 5884151814 7640001507 7845535752 10186668676 11768303628 15280003014 20373337352 22920004521 23536607256 30560006028 45840009042 61120012056 91680018084 183360036168 425293417223 850586834446 1275880251669 1701173668892 2551760503338 3402347337784 3827640755007 5103521006676 7655281510014 10207042013352 15310563020028 30621126040056