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42910041961620 = 22325983242511823
BaseRepresentation
bin10011100000110110001011…
…10011101111010010010100
312121221011022121021110011100
421300123011303233102110
521111014231220232440
6231132333502510100
712016101561432261
oct1160330563572224
9177834277243140
1042910041961620
1112744057030089
124990306295330
131ac3526ba7a52
14a84bddcb8268
154e62c6b22230
hex2706c5cef494

42910041961620 has 72 divisors (see below), whose sum is σ = 130292872609536. Its totient is φ = 11431037241792.

The previous prime is 42910041961607. The next prime is 42910041961621. The reversal of 42910041961620 is 2616914001924.

42910041961620 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 0 + 0 + 4 + 1 + 9 + 616 + 20 = 666.

42910041961620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×429100419616202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42910041961621) 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 23 ways as a sum of consecutive naturals, for example, 121078972 + ... + 121432851.

It is an arithmetic number, because the mean of its divisors is an integer number (1809623230688).

Almost surely, 242910041961620 is an apocalyptic number.

It is an amenable number.

42910041961620 is an abundant number, since it is smaller than the sum of its proper divisors (87382830647916).

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

42910041961620 is a wasteful number, since it uses less digits than its factorization.

42910041961620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242512821 (or 242512816 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 42910041961620 in words is "forty-two trillion, nine hundred ten billion, forty-one million, nine hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 983 1966 2949 3932 4915 5898 8847 9830 11796 14745 17694 19660 29490 35388 44235 58980 88470 176940 242511823 485023646 727535469 970047292 1212559115 1455070938 2182606407 2425118230 2910141876 3637677345 4365212814 4850236460 7275354690 8730425628 10913032035 14550709380 21826064070 43652128140 238389122009 476778244018 715167366027 953556488036 1191945610045 1430334732054 2145502098081 2383891220090 2860669464108 3575836830135 4291004196162 4767782440180 7151673660270 8582008392324 10727510490405 14303347320540 21455020980810 42910041961620