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104726726240 = 25519263130987
BaseRepresentation
bin110000110001000110…
…0110000011001100000
3101000022120210220200112
41201202030300121200
53203440020214430
6120035533110452
710365140325323
oct1414214603140
9330276726615
10104726726240
1140461563524
1218368928428
139b4cb6a386
1450d6b087ba
152ace1b1195
hex1862330660

104726726240 has 96 divisors (see below), whose sum is σ = 261431089920. Its totient is φ = 39534718464.

The previous prime is 104726726201. The next prime is 104726726243. The reversal of 104726726240 is 42627627401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104726726243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734027 + ... + 865013.

It is an arithmetic number, because the mean of its divisors is an integer number (2723240520).

Almost surely, 2104726726240 is an apocalyptic number.

104726726240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104726726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130715544960).

104726726240 is an abundant number, since it is smaller than the sum of its proper divisors (156704363680).

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

104726726240 is a wasteful number, since it uses less digits than its factorization.

104726726240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131284 (or 131276 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 104726726240 in words is "one hundred four billion, seven hundred twenty-six million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 263 304 380 526 608 760 1052 1315 1520 2104 2630 3040 4208 4997 5260 8416 9994 10520 19988 21040 24985 39976 42080 49970 79952 99940 130987 159904 199880 261974 399760 523948 654935 799520 1047896 1309870 2095792 2488753 2619740 4191584 4977506 5239480 9955012 10478960 12443765 19910024 20957920 24887530 34449581 39820048 49775060 68899162 79640096 99550120 137798324 172247905 199100240 275596648 344495810 398200480 551193296 654542039 688991620 1102386592 1309084078 1377983240 2618168156 2755966480 3272710195 5236336312 5511932960 6545420390 10472672624 13090840780 20945345248 26181681560 52363363120 104726726240