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54212787990 = 232510710875179
BaseRepresentation
bin110010011111010101…
…010111111100010110
312011221011220222022200
4302133111113330112
51342011433203430
640523252105330
73626305044324
oct623725277426
9164834828280
1054212787990
1120a9a784019
12a60b905246
13515c7a529a
1428a4034d14
15162464d460
hexc9f557f16

54212787990 has 96 divisors (see below), whose sum is σ = 142428948480. Its totient is φ = 14305695552.

The previous prime is 54212787983. The next prime is 54212788013. The reversal of 54212787990 is 9978721245.

54212787990 is a `hidden beast` number, since 542 + 1 + 2 + 7 + 8 + 7 + 9 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10465221 + ... + 10470399.

It is an arithmetic number, because the mean of its divisors is an integer number (1483634880).

Almost surely, 254212787990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54212787990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71214474240).

54212787990 is an abundant number, since it is smaller than the sum of its proper divisors (88216160490).

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

54212787990 is a wasteful number, since it uses less digits than its factorization.

54212787990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 54212787990 in words is "fifty-four billion, two hundred twelve million, seven hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1087 1605 1926 2174 3210 3261 4815 5179 5435 6522 9630 9783 10358 10870 15537 16305 19566 25895 31074 32610 46611 48915 51790 77685 93222 97830 116309 155370 232618 233055 348927 466110 554153 581545 697854 1046781 1108306 1163090 1662459 1744635 2093562 2770765 3324918 3489270 4987377 5233905 5541530 5629573 8312295 9974754 10467810 11259146 16624590 16888719 24936885 28147865 33777438 49873770 50666157 56295730 84443595 101332314 168887190 253330785 506661570 602364311 1204728622 1807092933 3011821555 3614185866 5421278799 6023643110 9035464665 10842557598 18070929330 27106393995 54212787990