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1006655005620 = 22325112322104853
BaseRepresentation
bin11101010011000010101…
…00000110001110110100
310120020100111222201221200
432221201110012032310
5112443112140134440
62050241222212500
7132504564236535
oct16514124061664
93506314881850
101006655005620
11358a13564140
1214311a884130
1373c08c7baa4
1436a1823a68c
151b2bab34c30
hexea615063b4

1006655005620 has 144 divisors (see below), whose sum is σ = 3475944081792. Its totient is φ = 233427237120.

The previous prime is 1006655005589. The next prime is 1006655005651. The reversal of 1006655005620 is 265005566001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006655005589) and next prime (1006655005651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11006887 + ... + 11097966.

It is an arithmetic number, because the mean of its divisors is an integer number (24138500568).

Almost surely, 21006655005620 is an apocalyptic number.

1006655005620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006655005620 is an abundant number, since it is smaller than the sum of its proper divisors (2469289076172).

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

1006655005620 is a wasteful number, since it uses less digits than its factorization.

1006655005620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104902 (or 22104897 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1006655005620 in words is "one trillion, six billion, six hundred fifty-five million, five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 22104853 44209706 66314559 88419412 110524265 132629118 198943677 221048530 243153383 265258236 331572795 397887354 442097060 486306766 508411619 663145590 729460149 795774708 972613532 994718385 1016823238 1215766915 1326291180 1458920298 1525234857 1989436770 2033646476 2188380447 2431533830 2542058095 2917840596 3050469714 3647300745 3978873540 4376760894 4575704571 4863067660 5084116190 5592527809 6100939428 7294601490 7626174285 8753521788 9151409142 10168232380 10941902235 11185055618 14589202980 15252348570 16777583427 18302818284 21883804470 22370111236 22878522855 27962639045 30504697140 33555166854 43767608940 45757045710 50332750281 55925278090 67110333708 83887917135 91514091420 100665500562 111850556180 167775834270 201331001124 251663751405 335551668540 503327502810 1006655005620