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163553015413344 = 25319785710091141
BaseRepresentation
bin100101001100000000100111…
…011000101011101001100000
3210110002111220212001002001010
4211030000213120223221200
5132414123033421211334
61335503115032140520
746310213122036644
oct4514004730535140
9713074825032033
10163553015413344
1148127498423147
1216415805b37740
137034ca2061b5b
142c56018650c24
1513d95c8b7a0e9
hex94c02762ba60

163553015413344 has 96 divisors (see below), whose sum is σ = 432009539017056. Its totient is φ = 54177635348480.

The previous prime is 163553015413313. The next prime is 163553015413387. The reversal of 163553015413344 is 443314510355361.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 163553015413293 and 163553015413302.

It is a congruent number.

It is an unprimeable number.

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, 11162014 + ... + 21253154.

It is an arithmetic number, because the mean of its divisors is an integer number (4500099364761).

Almost surely, 2163553015413344 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 163553015413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216004769508528).

163553015413344 is an abundant number, since it is smaller than the sum of its proper divisors (268456523603712).

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

163553015413344 is a wasteful number, since it uses less digits than its factorization.

163553015413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092208 (or 10092200 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 163553015413344 in words is "one hundred sixty-three trillion, five hundred fifty-three billion, fifteen million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 857 1182 1576 1714 2364 2571 3152 3428 4728 5142 6304 6856 9456 10284 13712 18912 20568 27424 41136 82272 168829 337658 506487 675316 1012974 1350632 2025948 2701264 4051896 5402528 8103792 10091141 16207584 20182282 30273423 40364564 60546846 80729128 121093692 161458256 242187384 322916512 484374768 968749536 1987954777 3975909554 5963864331 7951819108 8648107837 11927728662 15903638216 17296215674 23855457324 25944323511 31807276432 34592431348 47710914648 51888647022 63614552864 69184862696 95421829296 103777294044 138369725392 190843658592 207554588088 276739450784 415109176176 830218352352 1703677243889 3407354487778 5111031731667 6814708975556 10222063463334 13629417951112 20444126926668 27258835902224 40888253853336 54517671804448 81776507706672 163553015413344