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481021801761534 = 2311437312231898467
BaseRepresentation
bin110110101011111001001110…
…1100111111000101011111110
32100002011020100102101210200020
41231113302131213320223332
51001022030122222332114
64423014210505313010
7203214451444531005
oct15527623547705376
92302136312353606
10481021801761534
1112a2a5222977870
1245b492b8195766
131785321340c1c7
1486ad817d41c3c
153a927332eeaa9
hex1b57c9d9f8afe

481021801761534 has 128 divisors (see below), whose sum is σ = 1089510919630848. Its totient is φ = 140309091336960.

The previous prime is 481021801761467. The next prime is 481021801761547. The reversal of 481021801761534 is 435167108120184.

It is a super-3 number, since 3×4810218017615343 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252424569 + ... + 254323035.

It is an arithmetic number, because the mean of its divisors is an integer number (8511804059616).

Almost surely, 2481021801761534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481021801761534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544755459815424).

481021801761534 is an abundant number, since it is smaller than the sum of its proper divisors (608489117869314).

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

481021801761534 is a wasteful number, since it uses less digits than its factorization.

481021801761534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899822.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 481021801761534 in words is "four hundred eighty-one trillion, twenty-one billion, eight hundred one million, seven hundred sixty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 73 86 129 146 219 258 438 473 803 946 1223 1419 1606 2409 2446 2838 3139 3669 4818 6278 7338 9417 13453 18834 26906 34529 40359 52589 69058 80718 89279 103587 105178 157767 178558 207174 267837 315534 535674 578479 982069 1156958 1735437 1898467 1964138 2946207 3470874 3796934 3838997 5695401 5892414 7677994 11390802 11516991 20883137 23033982 41766274 42228967 62649411 81634081 84457934 125298822 126686901 138588091 163268162 244902243 253373802 277176182 415764273 489804486 831528546 897974891 1524469001 1795949782 2321825141 2693924673 3048938002 4573407003 4643650282 5387849346 5959287913 6965475423 9146814006 11918575826 13930950846 17877863739 25540076551 35755727478 51080153102 65552167043 76620229653 99838481063 131104334086 153240459306 169493235293 196656501129 199676962126 299515443189 338986470586 393313002258 508479705879 599030886378 1016959411758 1098223291693 1864425588223 2196446583386 3294669875079 3728851176446 5593276764669 6589339750158 7288209117599 11186553529338 14576418235198 21864627352797 43729254705594 80170300293589 160340600587178 240510900880767 481021801761534