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75434740470 = 23254353367777
BaseRepresentation
bin100011001000001000…
…0101100101011110110
321012201011202212020200
41012100100230223312
52213442243143340
654353152141330
75310225500025
oct1062020545366
9235634685220
1075434740470
1129a9aa43021
1212752b37846
13716238c40b
1439187228bc
151e677de330
hex119042caf6

75434740470 has 96 divisors (see below), whose sum is σ = 204478683552. Its totient is φ = 19277346816.

The previous prime is 75434740421. The next prime is 75434740531. The reversal of 75434740470 is 7404743457.

75434740470 is a `hidden beast` number, since 75 + 43 + 4 + 74 + 0 + 470 = 666.

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

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, 21222 + ... + 388998.

It is an arithmetic number, because the mean of its divisors is an integer number (2129986287).

Almost surely, 275434740470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75434740470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102239341776).

75434740470 is an abundant number, since it is smaller than the sum of its proper divisors (129043943082).

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

75434740470 is a wasteful number, since it uses less digits than its factorization.

75434740470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367886 (or 367883 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 75434740470 in words is "seventy-five billion, four hundred thirty-four million, seven hundred forty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 53 86 90 106 129 159 215 258 265 318 387 430 477 530 645 774 795 954 1290 1590 1935 2279 2385 3870 4558 4770 6837 11395 13674 20511 22790 34185 41022 68370 102555 205110 367777 735554 1103331 1838885 2206662 3309993 3677770 5516655 6619986 11033310 15814411 16549965 19492181 31628822 33099930 38984362 47443233 58476543 79072055 94886466 97460905 116953086 142329699 158144110 175429629 194921810 237216165 284659398 292382715 350859258 474432330 584765430 711648495 838163783 877148145 1423296990 1676327566 1754296290 2514491349 4190818915 5028982698 7543474047 8381637830 12572456745 15086948094 25144913490 37717370235 75434740470