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49800217627328 = 267835167259201
BaseRepresentation
bin10110101001011000001000…
…10010000000101011000000
320112022212001210101012012212
423110230010102000223000
523011411321203033303
6253525523143441252
713326642550316120
oct1324540422005300
9215285053335185
1049800217627328
111496017661a593
125703748156228
1321a31a952058c
14c424b43b6c80
155b5640877ad8
hex2d4b04480ac0

49800217627328 has 112 divisors (see below), whose sum is σ = 114323061801984. Its totient is φ = 21081644236800.

The previous prime is 49800217627319. The next prime is 49800217627337. The reversal of 49800217627328 is 82372671200894.

It is an interprime number because it is at equal distance from previous prime (49800217627319) and next prime (49800217627337).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192000128 + ... + 192259328.

It is an arithmetic number, because the mean of its divisors is an integer number (1020741623232).

Almost surely, 249800217627328 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 49800217627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57161530900992).

49800217627328 is an abundant number, since it is smaller than the sum of its proper divisors (64522844174656).

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

49800217627328 is a wasteful number, since it uses less digits than its factorization.

49800217627328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264470 (or 264460 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 49800217627328 in words is "forty-nine trillion, eight hundred billion, two hundred seventeen million, six hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2656 4648 5167 5312 9296 10334 18592 20668 36169 37184 41336 72338 82672 144676 165344 259201 289352 330688 428861 518402 578704 857722 1036804 1157408 1715444 1814407 2073608 2314816 3002027 3430888 3628814 4147216 6004054 6861776 7257628 8294432 12008108 13723552 14515256 16588864 21513683 24016216 27447104 29030512 43027366 48032432 58061024 86054732 96064864 116122048 150595781 172109464 192129728 301191562 344218928 602383124 688437856 1204766248 1339291567 1376875712 2409532496 2678583134 4819064992 5357166268 9375040969 9638129984 10714332536 18750081938 21428665072 37500163876 42857330144 75000327752 85714660288 111161200061 150000655504 222322400122 300001311008 444644800244 600002622016 778128400427 889289600488 1556256800854 1778579200976 3112513601708 3557158401952 6225027203416 7114316803904 12450054406832 24900108813664 49800217627328