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55997457400 = 23521953278041
BaseRepresentation
bin110100001001101101…
…010110001111111000
312100112120002120111201
4310021231112033320
51404140322114100
641420323503544
74021445351203
oct641155261770
9170476076451
1055997457400
1121826117615
12aa29527bb4
1353854583a1
1429d307a93a
1516cb17936a
hexd09b563f8

55997457400 has 96 divisors (see below), whose sum is σ = 139632692400. Its totient is φ = 20819635200.

The previous prime is 55997457367. The next prime is 55997457409. The reversal of 55997457400 is 475479955.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55997457409) 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 23 ways as a sum of consecutive naturals, for example, 62380 + ... + 340420.

Almost surely, 255997457400 is an apocalyptic number.

55997457400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55997457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69816346200).

55997457400 is an abundant number, since it is smaller than the sum of its proper divisors (83635235000).

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

55997457400 is a wasteful number, since it uses less digits than its factorization.

55997457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278129 (or 278120 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 55997457400 in words is "fifty-five billion, nine hundred ninety-seven million, four hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 152 190 200 212 265 380 424 475 530 760 950 1007 1060 1325 1900 2014 2120 2650 3800 4028 5035 5300 8056 10070 10600 20140 25175 40280 50350 100700 201400 278041 556082 1112164 1390205 2224328 2780410 5282779 5560820 6951025 10565558 11121640 13902050 14736173 21131116 26413895 27804100 29472346 42262232 52827790 55608200 58944692 73680865 105655580 117889384 132069475 147361730 211311160 264138950 279987287 294723460 368404325 528277900 559974574 589446920 736808650 1056555800 1119949148 1399936435 1473617300 2239898296 2799872870 2947234600 5599745740 6999682175 11199491480 13999364350 27998728700 55997457400