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38316100000 = 25556192
BaseRepresentation
bin100011101011110100…
…010100100110100000
310122220022111112221211
4203223310110212200
51111432410200000
625334022555504
72524336322233
oct435364244640
9118808445854
1038316100000
1115282492052
127513b98b94
1337c8252229
141bd6ab741a
15ee3c637ba
hex8ebd149a0

38316100000 has 108 divisors (see below), whose sum is σ = 94440060918. Its totient is φ = 15301680000.

The previous prime is 38316099949. The next prime is 38316100019. The reversal of 38316100000 is 161383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 55175184 + 38260924816 = 7428^2 + 195604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61899691 + ... + 61900309.

Almost surely, 238316100000 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 38316100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47220030459).

38316100000 is an abundant number, since it is smaller than the sum of its proper divisors (56123960918).

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

38316100000 is an frugal number, since it uses more digits than its factorization.

38316100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 38316100000 its reverse (161383), we get a palindrome (38316261383).

The spelling of 38316100000 in words is "thirty-eight billion, three hundred sixteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 619 625 800 1000 1238 1250 2000 2476 2500 3095 3125 4000 4952 5000 6190 6250 9904 10000 12380 12500 15475 19808 20000 24760 25000 30950 49520 50000 61900 77375 99040 100000 123800 154750 247600 309500 383161 386875 495200 619000 766322 773750 1238000 1532644 1547500 1915805 1934375 2476000 3065288 3095000 3831610 3868750 6130576 6190000 7663220 7737500 9579025 12261152 12380000 15326440 15475000 19158050 30652880 30950000 38316100 47895125 61305760 61900000 76632200 95790250 153264400 191580500 239475625 306528800 383161000 478951250 766322000 957902500 1197378125 1532644000 1915805000 2394756250 3831610000 4789512500 7663220000 9579025000 19158050000 38316100000