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4426772451100 = 2252299371629107
BaseRepresentation
bin100000001101011000000…
…1100110000111100011100
3120200012021101100111112221
41000122300030300330130
51040012012221413400
613225344200435124
7634552355663326
oct100326014607434
916605241314487
104426772451100
11145742470880a
125b5b31178aa4
1326159ac35bcc
14114385030616
157a23ce8bc1a
hex406b0330f1c

4426772451100 has 72 divisors (see below), whose sum is σ = 9947952509040. Its totient is φ = 1707824401920.

The previous prime is 4426772451077. The next prime is 4426772451107. The reversal of 4426772451100 is 11542776244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426772451107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902747 + ... + 3531853.

It is an arithmetic number, because the mean of its divisors is an integer number (138166007070).

Almost surely, 24426772451100 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 4426772451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973976254520).

4426772451100 is an abundant number, since it is smaller than the sum of its proper divisors (5521180057940).

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

4426772451100 is a wasteful number, since it uses less digits than its factorization.

4426772451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630087 (or 1630080 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 4426772451100 in words is "four trillion, four hundred twenty-six billion, seven hundred seventy-two million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 937 1450 1874 2900 3748 4685 9370 18740 23425 27173 46850 54346 93700 108692 135865 271730 543460 679325 1358650 1629107 2717300 3258214 6516428 8145535 16291070 32582140 40727675 47244103 81455350 94488206 162910700 188976412 236220515 472441030 944882060 1181102575 1526473259 2362205150 3052946518 4724410300 6105893036 7632366295 15264732590 30529465180 38161831475 44267724511 76323662950 88535449022 152647325900 177070898044 221338622555 442677245110 885354490220 1106693112775 2213386225550 4426772451100