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46473036425564 = 22719245471011139
BaseRepresentation
bin10101001000100010110001…
…10100111110100101011100
320002112210000210221202220012
422210101120310332211130
522042403234311104224
6242501230155342352
712534365110611230
oct1244213064764534
9202483023852805
1046473036425564
1113898116570401
125266951a519b8
131cc15087a9348
14b6944244c5c0
15558d0c54a80e
hex2a4458d3e95c

46473036425564 has 72 divisors (see below), whose sum is σ = 98117110465920. Its totient is φ = 18864583260192.

The previous prime is 46473036425539. The next prime is 46473036425593. The reversal of 46473036425564 is 46552463037464.

It is a happy number.

It is a super-2 number, since 2×464730364255642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45455507 + ... + 46466645.

It is an arithmetic number, because the mean of its divisors is an integer number (1362737645360).

Almost surely, 246473036425564 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 46473036425564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49058555232960).

46473036425564 is an abundant number, since it is smaller than the sum of its proper divisors (51644074040356).

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

46473036425564 is a wasteful number, since it uses less digits than its factorization.

46473036425564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015735 (or 1015714 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 59.

The spelling of 46473036425564 in words is "forty-six trillion, four hundred seventy-three billion, thirty-six million, four hundred twenty-five thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 361 532 722 1444 2527 4547 5054 9094 10108 18188 31829 63658 86393 127316 172786 345572 604751 1011139 1209502 1641467 2022278 2419004 3282934 4044556 6565868 7077973 11490269 14155946 19211641 22980538 28311892 38423282 45961076 76846564 134481487 268962974 365021179 537925948 730042358 1460084716 2555148253 4597649033 5110296506 9195298066 10220593012 18390596132 32183543231 64367086462 87355331627 128734172924 174710663254 349421326508 611487321389 1222974642778 1659751300913 2445949285556 3319502601826 6639005203652 11618259106391 23236518212782 46473036425564