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7430378112 = 273212974973
BaseRepresentation
bin1101110101110001…
…01001001010000000
3201011211120022120100
412322320221022000
5110204134044422
63225150442400
7352063112643
oct67270511200
921154508510
107430378112
113173289063
121534503400
13915522651
14506b8ba5a
152d74cd7ac
hex1bae29280

7430378112 has 96 divisors (see below), whose sum is σ = 21402475380. Its totient is φ = 2474385408.

The previous prime is 7430378047. The next prime is 7430378117. The reversal of 7430378112 is 2118730347.

It can be written as a sum of positive squares in 2 ways, for example, as 6080256576 + 1350121536 = 77976^2 + 36744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7430378117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1491658 + ... + 1496630.

Almost surely, 27430378112 is an apocalyptic number.

7430378112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7430378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701237690).

7430378112 is an abundant number, since it is smaller than the sum of its proper divisors (13972097268).

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

7430378112 is a wasteful number, since it uses less digits than its factorization.

7430378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6275 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7430378112 is about 86199.6410201342. The cubic root of 7430378112 is about 1951.3580819490.

The spelling of 7430378112 in words is "seven billion, four hundred thirty million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1297 2594 3891 4973 5188 7782 9946 10376 11673 14919 15564 19892 20752 23346 29838 31128 39784 41504 44757 46692 59676 62256 79568 83008 89514 93384 119352 124512 159136 166016 179028 186768 238704 249024 318272 358056 373536 477408 498048 636544 716112 747072 954816 1432224 1494144 1909632 2864448 5728896 6449981 12899962 19349943 25799924 38699886 51599848 58049829 77399772 103199696 116099658 154799544 206399392 232199316 309599088 412798784 464398632 619198176 825597568 928797264 1238396352 1857594528 2476792704 3715189056 7430378112