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55144115640 = 23325314941229
BaseRepresentation
bin110011010110110110…
…000110110110111000
312021100002101022200100
4303112312012312320
51400413343200030
641155521435400
73661344151305
oct632666066670
9167302338610
1055144115640
1121428463299
12a82b79bb60
13527a71a033
1429519c80ac
15167b2b7360
hexcd6d86db8

55144115640 has 96 divisors (see below), whose sum is σ = 184999651200. Its totient is φ = 14230736640.

The previous prime is 55144115639. The next prime is 55144115713. The reversal of 55144115640 is 4651144155.

55144115640 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 4 + 1 + 1 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55144115595 and 55144115604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459455 + ... + 2481774.

It is an arithmetic number, because the mean of its divisors is an integer number (1927079700).

Almost surely, 255144115640 is an apocalyptic number.

It is an amenable number.

55144115640 is an abundant number, since it is smaller than the sum of its proper divisors (129855535560).

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

55144115640 is a wasteful number, since it uses less digits than its factorization.

55144115640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941277 (or 4941270 counting only the distinct ones).

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

Adding to 55144115640 its reverse (4651144155), we get a palindrome (59795259795).

The spelling of 55144115640 in words is "fifty-five billion, one hundred forty-four million, one hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 4941229 9882458 14823687 19764916 24706145 29647374 39529832 44471061 49412290 59294748 74118435 88942122 98824580 118589496 148236870 153178099 177884244 197649160 222355305 296473740 306356198 355768488 444710610 459534297 592947480 612712396 765890495 889421220 919068594 1225424792 1378602891 1531780990 1778842440 1838137188 2297671485 2757205782 3063561980 3676274376 4595342970 5514411564 6127123960 6893014455 9190685940 11028823128 13786028910 18381371880 27572057820 55144115640