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71430745698 = 2361329129953
BaseRepresentation
bin100001010000110011…
…0101010111001100010
320211101010112212000000
41002201212222321202
52132242232330243
652452000440430
75106056214624
oct1024146527142
9224333485000
1071430745698
1128325880534
1211a16019116
13697499c640
143658a4cc14
151cd102a5d3
hex10a19aae62

71430745698 has 112 divisors (see below), whose sum is σ = 178970049720. Its totient is φ = 21220641792.

The previous prime is 71430745681. The next prime is 71430745717. The reversal of 71430745698 is 89654703417.

71430745698 is a `hidden beast` number, since 7 + 1 + 4 + 3 + 0 + 74 + 569 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52163362449 + 19267383249 = 228393^2 + 138807^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 484690 + ... + 614642.

Almost surely, 271430745698 is an apocalyptic number.

71430745698 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71430745698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89485024860).

71430745698 is an abundant number, since it is smaller than the sum of its proper divisors (107539304022).

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

71430745698 is a wasteful number, since it uses less digits than its factorization.

71430745698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130015 (or 130000 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 71430745698 in words is "seventy-one billion, four hundred thirty million, seven hundred forty-five thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 243 261 351 377 486 522 702 729 754 783 1053 1131 1458 1566 2106 2262 2349 3159 3393 4698 6318 6786 7047 9477 10179 14094 18954 20358 21141 30537 42282 61074 91611 129953 183222 259906 274833 389859 549666 779718 1169577 1689389 2339154 3378778 3508731 3768637 5068167 7017462 7537274 10136334 10526193 11305911 15204501 21052386 22611822 30409002 31578579 33917733 45613503 48992281 63157158 67835466 91227006 94735737 97984562 101753199 136840509 146976843 189471474 203506398 273681018 293953686 305259597 410521527 440930529 610519194 821043054 881861058 915778791 1231564581 1322791587 1831557582 2463129162 2645583174 2747336373 3968374761 5494672746 7936749522 11905124283 23810248566 35715372849 71430745698