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1987155144 = 2332136731687
BaseRepresentation
bin111011001110001…
…1001010011001000
312010111011221101200
41312130121103020
513032202431034
6525103344200
7100146353142
oct16634312310
95114157350
101987155144
1192a774087
124755b2060
132588ca960
1414bcb3c92
15b96c6a99
hex767194c8

1987155144 has 96 divisors (see below), whose sum is σ = 5882560320. Its totient is φ = 602287488.

The previous prime is 1987155133. The next prime is 1987155151. The reversal of 1987155144 is 4415517891.

1987155144 is a `hidden beast` number, since 1 + 98 + 7 + 1 + 551 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1987155144.

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, 46869 + ... + 78555.

It is an arithmetic number, because the mean of its divisors is an integer number (61276670).

Almost surely, 21987155144 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 1987155144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941280160).

1987155144 is an abundant number, since it is smaller than the sum of its proper divisors (3895405176).

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

1987155144 is a wasteful number, since it uses less digits than its factorization.

1987155144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31779 (or 31772 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 1987155144 is about 44577.5183696894. The cubic root of 1987155144 is about 1257.2180041610.

The spelling of 1987155144 in words is "one billion, nine hundred eighty-seven million, one hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 2412 2613 3484 4824 5226 6968 7839 10452 15678 20904 31356 31687 62712 63374 95061 126748 190122 253496 285183 380244 411931 570366 760488 823862 1140732 1235793 1647724 2123029 2281464 2471586 3295448 3707379 4246058 4943172 6369087 7414758 8492116 9886344 12738174 14829516 16984232 19107261 25476348 27599377 29659032 38214522 50952696 55198754 76429044 82798131 110397508 152858088 165596262 220795016 248394393 331192524 496788786 662385048 993577572 1987155144