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126054757556 = 227131953343897
BaseRepresentation
bin111010101100101110…
…0101111010010110100
3110001100222021011102022
41311121130233102310
54031130004220211
6133524142532312
712051516521540
oct1653134572264
9401328234368
10126054757556
1149506696092
122051b597098
13bb6b715b50
14615b52aa20
15342b807bdb
hex1d5972f4b4

126054757556 has 96 divisors (see below), whose sum is σ = 291185314560. Its totient is φ = 46351678464.

The previous prime is 126054757553. The next prime is 126054757571. The reversal of 126054757556 is 655757450621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 126054757498 and 126054757507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126054757553) 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, 194600 + ... + 538496.

It is an arithmetic number, because the mean of its divisors is an integer number (3033180360).

Almost surely, 2126054757556 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 126054757556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145592657280).

126054757556 is an abundant number, since it is smaller than the sum of its proper divisors (165130557004).

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

126054757556 is a wasteful number, since it uses less digits than its factorization.

126054757556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343993 (or 343991 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 53.

The spelling of 126054757556 in words is "one hundred twenty-six billion, fifty-four million, seven hundred fifty-seven thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 53 76 91 106 133 182 212 247 266 364 371 494 532 689 742 988 1007 1378 1484 1729 2014 2756 3458 4028 4823 6916 7049 9646 13091 14098 19292 26182 28196 52364 91637 183274 343897 366548 687794 1375588 2407279 4470661 4814558 6534043 8941322 9629116 13068086 17882644 18226541 26136172 31294627 36453082 45738301 62589254 72906164 84942559 91476602 125178508 127585787 169885118 182953204 236945033 255171574 339770236 346304279 473890066 510343148 594597913 692608558 947780132 1189195826 1385217116 1658615231 2378391652 2424129953 3317230462 4501955627 4848259906 6634460924 9003911254 9696519812 18007822508 31513689389 63027378778 126054757556