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30471132736 = 2611371577451
BaseRepresentation
bin11100011000001110…
…001001011001000000
32220122120210220222201
4130120032021121000
5444401102221421
621555342042544
72126050232452
oct343016113100
986576726881
1030471132736
1111a17184030
125aa4879454
132b47b80975
141690c482d2
15bd518db91
hex718389640

30471132736 has 112 divisors (see below), whose sum is σ = 68186515392. Its totient is φ = 13388544000.

The previous prime is 30471132709. The next prime is 30471132763. The reversal of 30471132736 is 63723117403.

It is an interprime number because it is at equal distance from previous prime (30471132709) and next prime (30471132763).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 30471132695 and 30471132704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4085811 + ... + 4093261.

Almost surely, 230471132736 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 30471132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34093257696).

30471132736 is an abundant number, since it is smaller than the sum of its proper divisors (37715382656).

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

30471132736 is a wasteful number, since it uses less digits than its factorization.

30471132736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 30471132736 in words is "thirty billion, four hundred seventy-one million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 157 176 296 314 352 407 592 628 704 814 1184 1256 1628 1727 2368 2512 3256 3454 5024 5809 6512 6908 7451 10048 11618 13024 13816 14902 23236 26048 27632 29804 46472 55264 59608 63899 81961 92944 110528 119216 127798 163922 185888 238432 255596 275687 327844 371776 476864 511192 551374 655688 1022384 1102748 1169807 1311376 2044768 2205496 2339614 2622752 3032557 4089536 4410992 4679228 5245504 6065114 8821984 9358456 12130228 12867877 17643968 18716912 24260456 25735754 37433824 43282859 48520912 51471508 74867648 86565718 97041824 102943016 173131436 194083648 205886032 346262872 411772064 476111449 692525744 823544128 952222898 1385051488 1904445796 2770102976 3808891592 7617783184 15235566368 30471132736