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124428329536 = 267262992
BaseRepresentation
bin111001111100010000…
…0011010001001000000
3102220011121212001121111
41303320200122021000
54014312123021121
6133054522533104
711663310231100
oct1637040321100
9386147761544
10124428329536
11488516036a5
1220146967194
13b96c788bc4
146045517200
153383b382e1
hex1cf881a240

124428329536 has 63 divisors (see below), whose sum is σ = 287270311539. Its totient is φ = 53317961088.

The previous prime is 124428329521. The next prime is 124428329563. The reversal of 124428329536 is 635923824421.

The square root of 124428329536 is 352744.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1244283295362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124428329536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19750515 + ... + 19756813.

Almost surely, 2124428329536 is an apocalyptic number.

124428329536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

124428329536 is the 352744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124428329536

124428329536 is an abundant number, since it is smaller than the sum of its proper divisors (162841982003).

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

124428329536 is an frugal number, since it uses more digits than its factorization.

124428329536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624 (or 6308 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

Multiplying 124428329536 by its sum of digits (49), we get a square (6096988147264 = 24692082).

124428329536 divided by its sum of digits (49) gives a square (2539353664 = 503922).

The spelling of 124428329536 in words is "one hundred twenty-four billion, four hundred twenty-eight million, three hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 6299 12598 25196 44093 50392 88186 100784 176372 201568 308651 352744 403136 617302 705488 1234604 1410976 2469208 2821952 4938416 9876832 19753664 39677401 79354802 158709604 277741807 317419208 555483614 634838416 1110967228 1269676832 1944192649 2221934456 2539353664 3888385298 4443868912 7776770596 8887737824 15553541192 17775475648 31107082384 62214164768 124428329536