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49423619424 = 2533117419539
BaseRepresentation
bin101110000001111000…
…001001010101100000
311201120102021000010010
4232001320021111200
51302204421310144
634412131404520
73366522555624
oct560170112540
9151512230103
1049423619424
1119a62387873
1296b3a53740
134878523b2a
14256bd75184
151443e905b9
hexb81e09560

49423619424 has 96 divisors (see below), whose sum is σ = 134013035520. Its totient is φ = 15932275200.

The previous prime is 49423619417. The next prime is 49423619429. The reversal of 49423619424 is 42491632494.

It is a happy number.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49423619429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5176447 + ... + 5185985.

It is an arithmetic number, because the mean of its divisors is an integer number (1395969120).

Almost surely, 249423619424 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 49423619424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67006517760).

49423619424 is an abundant number, since it is smaller than the sum of its proper divisors (84589416096).

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

49423619424 is a wasteful number, since it uses less digits than its factorization.

49423619424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11316 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 49423619424 in words is "forty-nine billion, four hundred twenty-three million, six hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1741 2976 3482 5223 6964 9539 10446 13928 19078 20892 27856 28617 38156 41784 53971 55712 57234 76312 83568 107942 114468 152624 161913 167136 215884 228936 295709 305248 323826 431768 457872 591418 647652 863536 887127 915744 1182836 1295304 1727072 1774254 2365672 2590608 3548508 4731344 5181216 7097016 9462688 14194032 16607399 28388064 33214798 49822197 66429596 99644394 132859192 199288788 265718384 398577576 514829369 531436768 797155152 1029658738 1544488107 1594310304 2059317476 3088976214 4118634952 6177952428 8237269904 12355904856 16474539808 24711809712 49423619424