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3987770864 = 247112417177
BaseRepresentation
bin1110110110110000…
…1000110111110000
3101021220200202020012
43231230020313300
531131332131424
61455411434052
7200551331060
oct35554106760
911256622205
103987770864
111766aa1300
129335b5928
134b722c33c
1429b88d3a0
1518515bb0e
hexedb08df0

3987770864 has 120 divisors (see below), whose sum is σ = 9943884384. Its totient is φ = 1515571200.

The previous prime is 3987770849. The next prime is 3987770881. The reversal of 3987770864 is 4680777893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552044 + ... + 559220.

Almost surely, 23987770864 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 3987770864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971942192).

3987770864 is an abundant number, since it is smaller than the sum of its proper divisors (5956113520).

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

3987770864 is a wasteful number, since it uses less digits than its factorization.

3987770864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The square root of 3987770864 is about 63148.7993868450. The cubic root of 3987770864 is about 1585.7816886148.

The spelling of 3987770864 in words is "three billion, nine hundred eighty-seven million, seven hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 121 154 164 176 242 287 308 328 451 484 574 616 656 847 902 968 1148 1232 1694 1804 1936 2296 3157 3388 3608 4592 4961 6314 6776 7177 7216 9922 12628 13552 14354 19844 25256 28708 34727 39688 50239 50512 57416 69454 78947 79376 100478 114832 138908 157894 200956 277816 294257 315788 401912 552629 555632 588514 631576 803824 868417 1105258 1177028 1263152 1736834 2059799 2210516 2354056 3236827 3473668 4119598 4421032 4708112 6078919 6473654 6947336 8239196 8842064 12157838 12947308 13894672 16478392 22657789 24315676 25894616 32956784 35605097 45315578 48631352 51789232 71210194 90631156 97262704 142420388 181262312 249235679 284840776 362524624 498471358 569681552 996942716 1993885432 3987770864