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38401105455 = 335378986381
BaseRepresentation
bin100011110000111000…
…100101111000101111
310200010020110021112000
4203300320211320233
51112121140333310
625350300543343
72526421003446
oct436070457057
9120106407460
1038401105455
1115316471999
127538551b53
13380ca45a0b
141c040c3d5d
15eeb4554c0
hex8f0e25e2f

38401105455 has 64 divisors (see below), whose sum is σ = 70902345600. Its totient is φ = 19702932480.

The previous prime is 38401105453. The next prime is 38401105471. The reversal of 38401105455 is 55450110483.

It is not a de Polignac number, because 38401105455 - 21 = 38401105453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401105451) 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 63 ways as a sum of consecutive naturals, for example, 401365 + ... + 487745.

It is an arithmetic number, because the mean of its divisors is an integer number (1107849150).

Almost surely, 238401105455 is an apocalyptic number.

38401105455 is a deficient number, since it is larger than the sum of its proper divisors (32501240145).

38401105455 is a wasteful number, since it uses less digits than its factorization.

38401105455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86521 (or 86515 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 38401105455 in words is "thirty-eight billion, four hundred one million, one hundred five thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 27 37 45 89 111 135 185 267 333 445 555 801 999 1335 1665 2403 3293 4005 4995 9879 12015 16465 29637 49395 86381 88911 148185 259143 431905 444555 777429 1295715 2332287 3196097 3887145 7687909 9588291 11661435 15980485 23063727 28764873 38439545 47941455 69191181 86294619 115318635 143824365 207573543 284452633 345955905 431473095 853357899 1037867715 1422263165 2560073697 4266789495 7680221091 12800368485 38401105455