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54504815952 = 24311388711329
BaseRepresentation
bin110010110000101111…
…010111110101010000
312012200112102112101010
4302300233113311100
51343111213102302
641012243210520
73636452201646
oct626057276520
9165615375333
1054504815952
112112a602a44
12a691676a40
1351a81415b2
1428d0b31196
1516400d516c
hexcb0bd7d50

54504815952 has 80 divisors (see below), whose sum is σ = 142222861440. Its totient is φ = 17985601536.

The previous prime is 54504815927. The next prime is 54504815957. The reversal of 54504815952 is 25951840545.

It is a super-2 number, since 2×545048159522 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54504815957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4805424 + ... + 4816752.

It is an arithmetic number, because the mean of its divisors is an integer number (1777785768).

Almost surely, 254504815952 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 54504815952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71111430720).

54504815952 is an abundant number, since it is smaller than the sum of its proper divisors (87718045488).

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

54504815952 is a wasteful number, since it uses less digits than its factorization.

54504815952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 54504815952 in words is "fifty-four billion, five hundred four million, eight hundred fifteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 887 904 1356 1774 1808 2661 2712 3548 5322 5424 7096 10644 11329 14192 21288 22658 33987 42576 45316 67974 90632 100231 135948 181264 200462 271896 300693 400924 543792 601386 801848 1202772 1280177 1603696 2405544 2560354 3840531 4811088 5120708 7681062 10048823 10241416 15362124 20097646 20482832 30146469 30724248 40195292 60292938 61448496 80390584 120585876 160781168 241171752 482343504 1135516999 2271033998 3406550997 4542067996 6813101994 9084135992 13626203988 18168271984 27252407976 54504815952