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27972370950 = 23521941239387
BaseRepresentation
bin11010000011010010…
…001000001000000110
32200012102221200012220
4122003102020020012
5424241411332300
620503400553210
72010116141616
oct320322101006
980172850186
1027972370950
1110954746347
125507a82806
13283a295cb4
1414d503aa46
15adab09da0
hex683488206

27972370950 has 96 divisors (see below), whose sum is σ = 74803962240. Its totient is φ = 6894316800.

The previous prime is 27972370939. The next prime is 27972370973. The reversal of 27972370950 is 5907327972.

It is a junction number, because it is equal to n+sod(n) for n = 27972370893 and 27972370902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2844 + ... + 236543.

It is an arithmetic number, because the mean of its divisors is an integer number (779207940).

Almost surely, 227972370950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27972370950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401981120).

27972370950 is an abundant number, since it is smaller than the sum of its proper divisors (46831591290).

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

27972370950 is a wasteful number, since it uses less digits than its factorization.

27972370950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239462 (or 239457 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 27972370950 in words is "twenty-seven billion, nine hundred seventy-two million, three hundred seventy thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 41 50 57 75 82 95 114 123 150 190 205 246 285 410 475 570 615 779 950 1025 1230 1425 1558 2050 2337 2850 3075 3895 4674 6150 7790 11685 19475 23370 38950 58425 116850 239387 478774 718161 1196935 1436322 2393870 3590805 4548353 5984675 7181610 9096706 9814867 11969350 13645059 17954025 19629734 22741765 27290118 29444601 35908050 45483530 49074335 58889202 68225295 98148670 113708825 136450590 147223005 186482473 227417650 245371675 294446010 341126475 372964946 490743350 559447419 682252950 736115025 932412365 1118894838 1472230050 1864824730 2797237095 4662061825 5594474190 9324123650 13986185475 27972370950