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7492038144 = 2937168699
BaseRepresentation
bin1101111101000111…
…10110111000000000
3201100010120222020020
412332203312320000
5110320430210034
63235232213440
7353442162543
oct67643667000
921303528206
107492038144
1131a5073168
12155109a280
13925231086
1451103c85a
152dcb0d249
hex1be8f6e00

7492038144 has 80 divisors (see below), whose sum is σ = 20240668800. Its totient is φ = 2462136320.

The previous prime is 7492038137. The next prime is 7492038173. The reversal of 7492038144 is 4418302947.

It is a super-2 number, since 2×74920381442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7492038096 and 7492038105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74707 + ... + 143405.

It is an arithmetic number, because the mean of its divisors is an integer number (253008360).

Almost surely, 27492038144 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 7492038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120334400).

7492038144 is an abundant number, since it is smaller than the sum of its proper divisors (12748630656).

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

7492038144 is an equidigital number, since it uses as much as digits as its factorization.

7492038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68791 (or 68775 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 7492038144 is about 86556.5603752829. The cubic root of 7492038144 is about 1956.7409172819.

The spelling of 7492038144 in words is "seven billion, four hundred ninety-two million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 13632 18176 27264 36352 54528 68699 109056 137398 206097 274796 412194 549592 824388 1099184 1648776 2198368 3297552 4396736 4877629 6595104 8793472 9755258 13190208 14632887 17586944 19510516 26380416 29265774 35173888 39021032 52760832 58531548 78042064 105521664 117063096 156084128 234126192 312168256 468252384 624336512 936504768 1248673024 1873009536 2497346048 3746019072 7492038144