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100940240864 = 2519619268207
BaseRepresentation
bin101111000000010000…
…0011101011111100000
3100122112200212112020102
41132000200131133200
53123211200201424
6114212111401532
710202251614341
oct1360040353740
9318480775212
10100940240864
1139899152a71
12176908232a8
139698555498
144c57c940c8
15295ba647ae
hex178081d7e0

100940240864 has 48 divisors (see below), whose sum is σ = 209524089600. Its totient is φ = 47736376704.

The previous prime is 100940240857. The next prime is 100940240887. The reversal of 100940240864 is 468042049001.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242249 + ... + 510455.

It is an arithmetic number, because the mean of its divisors is an integer number (4365085200).

Almost surely, 2100940240864 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 100940240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104762044800).

100940240864 is an abundant number, since it is smaller than the sum of its proper divisors (108583848736).

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

100940240864 is a wasteful number, since it uses less digits than its factorization.

100940240864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268855 (or 268847 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

Adding to 100940240864 its reverse (468042049001), we get a palindrome (568982289865).

The spelling of 100940240864 in words is "one hundred billion, nine hundred forty million, two hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 619 1238 2476 4952 9904 11761 19808 23522 47044 94088 188176 268207 376352 536414 1072828 2145656 4291312 5095933 8582624 10191866 20383732 40767464 81534928 163069856 166020133 332040266 664080532 1328161064 2656322128 3154382527 5312644256 6308765054 12617530108 25235060216 50470120432 100940240864