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137432536472 = 23711907245981
BaseRepresentation
bin111111111111110011…
…1100001010110011000
3111010201220120012220102
41333333213201112120
54222430212131342
6143045144114532
712633464166620
oct1777747412630
9433656505812
10137432536472
11533150a1860
1222775a65a48
13cc629a16ca
14691a659880
15389561b832
hex1fff9e1598

137432536472 has 64 divisors (see below), whose sum is σ = 321626384640. Its totient is φ = 53485891200.

The previous prime is 137432536459. The next prime is 137432536477. The reversal of 137432536472 is 274635234731.

137432536472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1374325364722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137432536477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435722 + ... + 681702.

It is an arithmetic number, because the mean of its divisors is an integer number (5025412260).

Almost surely, 2137432536472 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 137432536472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160813192320).

137432536472 is an abundant number, since it is smaller than the sum of its proper divisors (184193848168).

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

137432536472 is a wasteful number, since it uses less digits than its factorization.

137432536472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246912 (or 246908 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 47.

The spelling of 137432536472 in words is "one hundred thirty-seven billion, four hundred thirty-two million, five hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 907 1814 3628 6349 7256 9977 12698 19954 25396 39908 50792 69839 79816 139678 245981 279356 491962 558712 983924 1721867 1967848 2705791 3443734 5411582 6887468 10823164 13774936 18940537 21646328 37881074 75762148 151524296 223104767 446209534 892419068 1561733369 1784838136 2454152437 3123466738 4908304874 6246933476 9816609748 12493866952 17179067059 19633219496 34358134118 68716268236 137432536472