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49214813952 = 283179738861
BaseRepresentation
bin101101110101011011…
…100111011100000000
311201000212100120212010
4231311123213130000
51301242443021302
634335312132520
73361406005413
oct556533473400
9151025316763
1049214813952
1119965530167
129655b37140
1348441a58b5
14254c33db7a
15143099716c
hexb756e7700

49214813952 has 144 divisors (see below), whose sum is σ = 140121448992. Its totient is φ = 15280373760.

The previous prime is 49214813929. The next prime is 49214813957. The reversal of 49214813952 is 25931841294.

It is a happy number.

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 (49214813957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247002 + ... + 1285862.

It is an arithmetic number, because the mean of its divisors is an integer number (973065618).

Almost surely, 249214813952 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 49214813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70060724496).

49214813952 is an abundant number, since it is smaller than the sum of its proper divisors (90906635040).

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

49214813952 is a wasteful number, since it uses less digits than its factorization.

49214813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38994 (or 38980 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 49214813952 in words is "forty-nine billion, two hundred fourteen million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 128 136 192 194 204 256 272 291 384 388 408 544 582 768 776 816 1088 1164 1552 1632 1649 2176 2328 3104 3264 3298 4352 4656 4947 6208 6528 6596 9312 9894 12416 13056 13192 18624 19788 24832 26384 37248 38861 39576 52768 74496 77722 79152 105536 116583 155444 158304 211072 233166 310888 316608 422144 466332 621776 633216 660637 932664 1243552 1266432 1321274 1865328 1981911 2487104 2642548 3730656 3769517 3963822 4974208 5285096 7461312 7539034 7927644 9948416 10570192 11308551 14922624 15078068 15855288 21140384 22617102 29845248 30156136 31710576 42280768 45234204 60312272 63421152 64081789 84561536 90468408 120624544 126842304 128163578 169123072 180936816 192245367 241249088 253684608 256327156 361873632 384490734 482498176 507369216 512654312 723747264 768981468 964996352 1025308624 1447494528 1537962936 2050617248 2894989056 3075925872 4101234496 6151851744 8202468992 12303703488 16404937984 24607406976 49214813952