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30504637408 = 2571922332141
BaseRepresentation
bin11100011010001101…
…111101001111100000
32220201220212010202111
4130122031331033200
5444433141344113
622002540125104
72126635065640
oct343215751740
986656763674
1030504637408
1111a34088643
125ab3b36794
132b51ab1c0b
14169548a520
15bd80ab13d
hex71a37d3e0

30504637408 has 96 divisors (see below), whose sum is σ = 72574064640. Its totient is φ = 12329418240.

The previous prime is 30504637357. The next prime is 30504637417. The reversal of 30504637408 is 80473640503.

It is a congruent number.

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, 933018 + ... + 965158.

It is an arithmetic number, because the mean of its divisors is an integer number (755979840).

Almost surely, 230504637408 is an apocalyptic number.

30504637408 is a gapful number since it is divisible by the number (38) 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 30504637408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36287032320).

30504637408 is an abundant number, since it is smaller than the sum of its proper divisors (42069427232).

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

30504637408 is a wasteful number, since it uses less digits than its factorization.

30504637408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32400 (or 32392 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 30504637408 in words is "thirty billion, five hundred four million, six hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 223 224 266 304 446 532 608 892 1064 1561 1784 2128 3122 3568 4237 4256 6244 7136 8474 12488 16948 24976 29659 32141 33896 49952 59318 64282 67792 118636 128564 135584 224987 237272 257128 449974 474544 514256 610679 899948 949088 1028512 1221358 1799896 2442716 3599792 4274753 4885432 7167443 7199584 8549506 9770864 14334886 17099012 19541728 28669772 34198024 50172101 57339544 68396048 100344202 114679088 136181417 136792096 200688404 229358176 272362834 401376808 544725668 802753616 953269919 1089451336 1605507232 1906539838 2178902672 3813079676 4357805344 7626159352 15252318704 30504637408