Search a number
-
+
1537116324072 = 233783110234963
BaseRepresentation
bin10110010111100011010…
…001011100000011101000
312102221120021112202111220
4112113203101130003220
5200141003234332242
63134050321222040
7216024114114630
oct26274321340350
95387507482456
101537116324072
11542984101a8a
12209aa1191920
13b1c45c22344
145457ac716c0
1529eb5b18bec
hex165e345c0e8

1537116324072 has 64 divisors (see below), whose sum is σ = 4444673748480. Its totient is φ = 433884810432.

The previous prime is 1537116324053. The next prime is 1537116324103. The reversal of 1537116324072 is 2704236117351.

It is a super-2 number, since 2×15371163240722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55103538 + ... + 55131425.

It is an arithmetic number, because the mean of its divisors is an integer number (69448027320).

Almost surely, 21537116324072 is an apocalyptic number.

1537116324072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1537116324072 is an abundant number, since it is smaller than the sum of its proper divisors (2907557424408).

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

1537116324072 is a wasteful number, since it uses less digits than its factorization.

1537116324072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110235062 (or 110235058 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1537116324072 in words is "one trillion, five hundred thirty-seven billion, one hundred sixteen million, three hundred twenty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 13944 110234963 220469926 330704889 440939852 661409778 771644741 881879704 1322819556 1543289482 2314934223 2645639112 3086578964 4629868446 6173157928 9149501929 9259736892 18299003858 18519473784 27448505787 36598007716 54897011574 64046513503 73196015432 109794023148 128093027006 192139540509 219588046296 256186054012 384279081018 512372108024 768558162036 1537116324072