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100238219472 = 24314935333967
BaseRepresentation
bin101110101011010101…
…0011101100011010000
3100120201202220010221010
41131112222131203100
53120241441010342
6114014312530520
710145665543626
oct1352652354320
9316652803833
10100238219472
11395689529a6
12175156b0a40
1395b5c89001
144bcc951516
15291a0e329c
hex1756a9d8d0

100238219472 has 80 divisors (see below), whose sum is σ = 260826163200. Its totient is φ = 33170735616.

The previous prime is 100238219449. The next prime is 100238219531. The reversal of 100238219472 is 274912832001.

It is a self number, because there is not a number n which added to its sum of digits gives 100238219472.

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, 25266033 + ... + 25269999.

It is an arithmetic number, because the mean of its divisors is an integer number (3260327040).

Almost surely, 2100238219472 is an apocalyptic number.

100238219472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100238219472 is an abundant number, since it is smaller than the sum of its proper divisors (160587943728).

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

100238219472 is a wasteful number, since it uses less digits than its factorization.

100238219472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 100238219472 in words is "one hundred billion, two hundred thirty-eight million, two hundred nineteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3533 3576 3967 7066 7152 7934 10599 11901 14132 15868 21198 23802 28264 31736 42396 47604 56528 63472 84792 95208 169584 190416 526417 591083 1052834 1182166 1579251 1773249 2105668 2364332 3158502 3546498 4211336 4728664 6317004 7092996 8422672 9457328 12634008 14015411 14185992 25268016 28030822 28371984 42046233 56061644 84092466 112123288 168184932 224246576 336369864 672739728 2088296239 4176592478 6264888717 8353184956 12529777434 16706369912 25059554868 33412739824 50119109736 100238219472