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49668278976 = 263350815657
BaseRepresentation
bin101110010000011101…
…011100101011000000
311202012110121222221000
4232100131130223000
51303210034411401
634452311332000
73405553256031
oct562035345300
9152173558830
1049668278976
111a0784a3148
129761981000
1348b71167b4
142592660a88
15145a6bc186
hexb9075cac0

49668278976 has 112 divisors (see below), whose sum is σ = 146070096480. Its totient is φ = 16549908480.

The previous prime is 49668278953. The next prime is 49668278987. The reversal of 49668278976 is 67987286694.

49668278976 is a `hidden beast` number, since 496 + 68 + 2 + 7 + 8 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 8777140 + ... + 8782796.

It is an arithmetic number, because the mean of its divisors is an integer number (1304197290).

Almost surely, 249668278976 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 49668278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73035048240).

49668278976 is an abundant number, since it is smaller than the sum of its proper divisors (96401817504).

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

49668278976 is a wasteful number, since it uses less digits than its factorization.

49668278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10743 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 49668278976 in words is "forty-nine billion, six hundred sixty-eight million, two hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 5081 5657 10162 11314 15243 16971 20324 22628 30486 33942 40648 45256 45729 50913 60972 67884 81296 90512 91458 101826 121944 135768 137187 152739 162592 181024 182916 203652 243888 271536 274374 305478 325184 362048 365832 407304 487776 543072 548748 610956 731664 814608 975552 1086144 1097496 1221912 1463328 1629216 2194992 2443824 2926656 3258432 4389984 4887648 8779968 9775296 28743217 57486434 86229651 114972868 172459302 229945736 258688953 344918604 459891472 517377906 689837208 776066859 919782944 1034755812 1379674416 1552133718 1839565888 2069511624 2759348832 3104267436 4139023248 5518697664 6208534872 8278046496 12417069744 16556092992 24834139488 49668278976