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49201373952 = 283273292531
BaseRepresentation
bin101101110100101000…
…010110001100000000
311200222221001202122100
4231310220112030000
51301231022431302
634334112110400
73361153530633
oct556450261400
9150887052570
1049201373952
1119958990525
129651535400
13484147b333
14254a641c1a
15142e6ded1c
hexb74a16300

49201373952 has 108 divisors (see below), whose sum is σ = 143803465624. Its totient is φ = 16175738880.

The previous prime is 49201373891. The next prime is 49201373959. The reversal of 49201373952 is 25937310294.

49201373952 is a `hidden beast` number, since 492 + 0 + 1 + 3 + 73 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49201373898 and 49201373907.

It is not an unprimeable number, because it can be changed into a prime (49201373959) 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, 21927 + ... + 314457.

Almost surely, 249201373952 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 49201373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71901732812).

49201373952 is an abundant number, since it is smaller than the sum of its proper divisors (94602091672).

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

49201373952 is a wasteful number, since it uses less digits than its factorization.

49201373952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292626 (or 292609 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 49201373952 in words is "forty-nine billion, two hundred one million, three hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 657 768 876 1152 1168 1314 1752 2304 2336 2628 3504 4672 5256 7008 9344 10512 14016 18688 21024 28032 42048 56064 84096 168192 292531 585062 877593 1170124 1755186 2340248 2632779 3510372 4680496 5265558 7020744 9360992 10531116 14041488 18721984 21062232 21354763 28082976 37443968 42124464 42709526 56165952 64064289 74887936 84248928 85419052 112331904 128128578 168497856 170838104 192192867 224663808 256257156 336995712 341676208 384385734 512514312 673991424 683352416 768771468 1025028624 1366704832 1537542936 2050057248 2733409664 3075085872 4100114496 5466819328 6150171744 8200228992 12300343488 16400457984 24600686976 49201373952