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42977458420 = 22513349473633
BaseRepresentation
bin101000000001101001…
…111111100011110100
311002221011200002121021
4220001221333203310
51201004212132140
631424340030524
73051010240411
oct500151774364
9132834602537
1042977458420
1117254722686
1283b5092444
13408bba3890
142119bc7108
1511b80c6b4a
hexa01a7f8f4

42977458420 has 48 divisors (see below), whose sum is σ = 97473877200. Its totient is φ = 15823097856.

The previous prime is 42977458417. The next prime is 42977458421. The reversal of 42977458420 is 2485477924.

42977458420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2111218704 + 40866239716 = 45948^2 + 202154^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42977458421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146077 + ... + 327556.

It is an arithmetic number, because the mean of its divisors is an integer number (2030705775).

Almost surely, 242977458420 is an apocalyptic number.

It is an amenable number.

42977458420 is an abundant number, since it is smaller than the sum of its proper divisors (54496418780).

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

42977458420 is a wasteful number, since it uses less digits than its factorization.

42977458420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474004 (or 474002 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 42977458420 in words is "forty-two billion, nine hundred seventy-seven million, four hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1396 1745 3490 4537 6980 9074 18148 22685 45370 90740 473633 947266 1894532 2368165 4736330 6157229 9472660 12314458 24628916 30786145 61572290 123144580 165297917 330595834 661191668 826489585 1652979170 2148872921 3305958340 4297745842 8595491684 10744364605 21488729210 42977458420