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420106165107736 = 231941155069434717
BaseRepresentation
bin101111110000101011001011…
…0101111010011110000011000
32001002110202102222002212221211
41133201112112233103300120
5420031004411231421421
64045254035151512504
7154326445255332622
oct13741262657236030
92032422388085854
10420106165107736
1111194a02a070498
123b14b480828734
1315054ac2698563
1475a5365633c12
153387dd359c9e1
hex17e1596bd3c18

420106165107736 has 64 divisors (see below), whose sum is σ = 849387675276000. Its totient is φ = 194142357181440.

The previous prime is 420106165107697. The next prime is 420106165107749. The reversal of 420106165107736 is 637701561601024.

It is a happy number.

It is a super-3 number, since 3×4201061651077363 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420106165107736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966172650 + ... + 966607366.

Almost surely, 2420106165107736 is an apocalyptic number.

It is an amenable number.

420106165107736 is an abundant number, since it is smaller than the sum of its proper divisors (429281510168264).

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

420106165107736 is a wasteful number, since it uses less digits than its factorization.

420106165107736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589852 (or 589848 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 420106165107736 in words is "four hundred twenty trillion, one hundred six billion, one hundred sixty-five million, one hundred seven thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 19 38 41 76 82 152 164 328 779 1558 3116 6232 155069 310138 434717 620276 869434 1240552 1738868 2946311 3477736 5892622 6357829 8259623 11785244 12715658 16519246 17823397 23570488 25431316 33038492 35646794 50862632 66076984 71293588 120798751 142587176 241597502 338644543 483195004 677289086 966390008 1354578172 2709156344 67411130473 134822260946 269644521892 539289043784 1280811478987 2561622957974 2763856349393 5123245915948 5527712698786 10246491831896 11055425397572 22110850795144 52513270638467 105026541276934 210053082553868 420106165107736