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2271073644048 = 2431119643352073
BaseRepresentation
bin100001000011000110100…
…010011010111000010000
322001010001000201202002110
4201003012202122320100
5244202124323102143
64455152233545320
7323036215314216
oct41030642327020
98033030652073
102271073644048
117a617a957790
12308195b75240
13136213581411
147bcc5dc4cb6
153e120e3e533
hex210c689ae10

2271073644048 has 160 divisors (see below), whose sum is σ = 6747653122560. Its totient is φ = 650967045120.

The previous prime is 2271073644041. The next prime is 2271073644053. The reversal of 2271073644048 is 8404463701722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2271073643988 and 2271073644006.

It is not an unprimeable number, because it can be changed into a prime (2271073644041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6274540 + ... + 6626612.

It is an arithmetic number, because the mean of its divisors is an integer number (42172832016).

Almost surely, 22271073644048 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 2271073644048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373826561280).

2271073644048 is an abundant number, since it is smaller than the sum of its proper divisors (4476579478512).

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

2271073644048 is a wasteful number, since it uses less digits than its factorization.

2271073644048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352757 (or 352751 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 2271073644048 in words is "two trillion, two hundred seventy-one billion, seventy-three million, six hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 643 836 912 1254 1286 1672 1929 2508 2572 3344 3858 5016 5144 7073 7716 10032 10288 12217 14146 15432 21219 24434 28292 30864 36651 42438 48868 56584 73302 84876 97736 113168 134387 146604 169752 195472 268774 293208 339504 352073 403161 537548 586416 704146 806322 1056219 1075096 1408292 1612644 2112438 2150192 2816584 3225288 3872803 4224876 5633168 6450576 6689387 7745606 8449752 11618409 13378774 15491212 16899504 20068161 23236818 26757548 30982424 40136322 46473636 53515096 61964848 73583257 80272644 92947272 107030192 147166514 160545288 185894544 220749771 226382939 294333028 321090576 441499542 452765878 588666056 679148817 882999084 905531756 1177332112 1358297634 1765998168 1811063512 2490212329 2716595268 3531996336 3622127024 4301275841 4980424658 5433190536 7470636987 8602551682 9960849316 10866381072 12903827523 14941273974 17205103364 19921698632 25807655046 29882547948 34410206728 39843397264 47314034251 51615310092 59765095896 68820413456 94628068502 103230620184 119530191792 141942102753 189256137004 206461240368 283884205506 378512274008 567768411012 757024548016 1135536822024 2271073644048