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42148780704 = 2533158330817
BaseRepresentation
bin100111010000010000…
…110101101010100000
311000210102100220111000
4213100100311222200
51142310041440304
631210214352000
73021325503402
oct472020655240
9130712326430
1042148780704
1116969984868
12820365b600
133c892bc834
14207bb14b72
15116a487939
hex9d0435aa0

42148780704 has 96 divisors (see below), whose sum is σ = 123015594240. Its totient is φ = 14040262656.

The previous prime is 42148780669. The next prime is 42148780721. The reversal of 42148780704 is 40708784124.

42148780704 is a `hidden beast` number, since 4 + 21 + 487 + 80 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42148780704.

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, 1352304 + ... + 1383120.

It is an arithmetic number, because the mean of its divisors is an integer number (1281412440).

Almost surely, 242148780704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42148780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61507797120).

42148780704 is an abundant number, since it is smaller than the sum of its proper divisors (80866813536).

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

42148780704 is a wasteful number, since it uses less digits than its factorization.

42148780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32419 (or 32405 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 42148780704 in words is "forty-two billion, one hundred forty-eight million, seven hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1583 3166 4749 6332 9498 12664 14247 18996 25328 28494 30817 37992 42741 50656 56988 61634 75984 85482 92451 113976 123268 151968 170964 184902 227952 246536 277353 341928 369804 455904 493072 554706 683856 739608 832059 986144 1109412 1367712 1479216 1664118 2218824 2958432 3328236 4437648 6656472 8875296 13312944 26625888 48783311 97566622 146349933 195133244 292699866 390266488 439049799 585399732 780532976 878099598 1170799464 1317149397 1561065952 1756199196 2341598928 2634298794 3512398392 4683197856 5268597588 7024796784 10537195176 14049593568 21074390352 42148780704