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463377422074152 = 233417331720349683
BaseRepresentation
bin110100101011100000111011…
…0101000111100000100101000
32020202200110010021010210212010
41221113001312220330010220
5441213433430022333102
64321304352101515520
7166413625330006365
oct15127016650740450
92222613107123763
10463377422074152
11124712296599a23
1243b79795112ba0
1316b733c3778121
14825d83061b46c
15388879bad2d6c
hex1a57076a3c128

463377422074152 has 128 divisors (see below), whose sum is σ = 1206749284997760. Its totient is φ = 148158708756480.

The previous prime is 463377422074139. The next prime is 463377422074153. The reversal of 463377422074152 is 251470224773364.

It is a junction number, because it is equal to n+sod(n) for n = 463377422074092 and 463377422074101.

It is not an unprimeable number, because it can be changed into a prime (463377422074153) 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, 12595903 + ... + 32945585.

It is an arithmetic number, because the mean of its divisors is an integer number (9427728789045).

Almost surely, 2463377422074152 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 463377422074152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603374642498880).

463377422074152 is an abundant number, since it is smaller than the sum of its proper divisors (743371862923608).

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

463377422074152 is a wasteful number, since it uses less digits than its factorization.

463377422074152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20350123 (or 20350119 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 57.

The spelling of 463377422074152 in words is "four hundred sixty-three trillion, three hundred seventy-seven billion, four hundred twenty-two million, seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 73 82 123 146 164 219 246 292 317 328 438 492 584 634 876 951 984 1268 1752 1902 2536 2993 3804 5986 7608 8979 11972 12997 17958 23141 23944 25994 35916 38991 46282 51988 69423 71832 77982 92564 103976 138846 155964 185128 277692 311928 555384 948781 1897562 2846343 3795124 5692686 7590248 11385372 20349683 22770744 40699366 61049049 81398732 122098098 162797464 244196196 488392392 834337003 1485526859 1668674006 2503011009 2971053718 3337348012 4456580577 5006022018 5942107436 6450849511 6674696024 8913161154 10012044036 11884214872 12901699022 17826322308 19352548533 20024088072 25803398044 35652644616 38705097066 51606796088 60906601219 77410194132 121813202438 154820388264 182719803657 243626404876 264484829951 365439607314 470912014303 487252809752 528969659902 730879214628 793454489853 941824028606 1057939319804 1412736042909 1461758429256 1586908979706 1883648057212 2115878639608 2825472085818 3173817959412 3767296114424 5650944171636 6347635918824 11301888343272 19307392586423 38614785172846 57922177759269 77229570345692 115844355518538 154459140691384 231688711037076 463377422074152