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100444625644 = 221137101641953
BaseRepresentation
bin101110110001011110…
…1110101101011101100
3100121021011021122222011
41131202331311223230
53121202311010034
6114051004531004
710154053142116
oct1354275655354
9317234248864
10100444625644
1139664410a10
1217572850a64
13961997713c
144c0c1203b6
15292d2b5864
hex1762f75aec

100444625644 has 96 divisors (see below), whose sum is σ = 199409781312. Its totient is φ = 43868160000.

The previous prime is 100444625641. The next prime is 100444625669. The reversal of 100444625644 is 446526444001.

It is a junction number, because it is equal to n+sod(n) for n = 100444625597 and 100444625606.

It is not an unprimeable number, because it can be changed into a prime (100444625641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105397872 + ... + 105398824.

It is an arithmetic number, because the mean of its divisors is an integer number (2077185222).

Almost surely, 2100444625644 is an apocalyptic number.

It is an amenable number.

100444625644 is a deficient number, since it is larger than the sum of its proper divisors (98965155668).

100444625644 is a wasteful number, since it uses less digits than its factorization.

100444625644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 100444625644 in words is "one hundred billion, four hundred forty-four million, six hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 4 11 22 37 44 74 101 148 202 404 407 641 814 953 1111 1282 1628 1906 2222 2564 3737 3812 4444 7051 7474 10483 14102 14948 20966 23717 28204 35261 41107 41932 47434 64741 70522 82214 94868 96253 129482 141044 164428 192506 258964 260887 385012 387871 521774 610873 712151 775742 1043548 1058783 1221746 1424302 1551484 2117566 2395417 2443492 2848604 3561361 4235132 4790834 6719603 7122722 9581668 13439206 14245444 22602301 26349587 26878412 39174971 45204602 52699174 61698173 78349942 90409204 105398348 123396346 156699884 246792692 248625311 497250622 678679903 994501244 1357359806 2282832401 2714719612 4565664802 9131329604 25111156411 50222312822 100444625644